4.1 – graphing equations in slope-intercept form
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4.1 – Graphing Equations in Slope-Intercept Form
*Remember this:
*Remember this: y = 2x + 1
*Remember this: y = 2x + 1
y = mx + b
*Remember this: y = 2x + 1
y = mx + b
slope
*Remember this: y = 2x + 1
y = mx + b
slope y-intercept
*Remember this: y = 2x + 1
y = mx + b
slope y-intercept
*Remember this: y = 2x + 1
y = mx + b
slope y-intercept
*Remember this: y = 2x + 1
y = mx + b
slope y-intercept
slope = 2
*Remember this: y = 2x + 1
y = mx + b
slope y-intercept
slope = 2
y-int. = 1
*Remember this: y = 2x + 1
y = mx + b
slope y-intercept
slope = 2
y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b y = 3x
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b y = 3x
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b y = 3x
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b y = 3x + 5
*Remember this: y = 2x + 1 y = mx + bslope y-intercept
slope = 2 y-int. = 1
Ex. 1 Write an equation of the line whose slope is 3 and whose y-intercept is 5.
y = mx + b y = 3x + 5
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
y = -2x + 3
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m =
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m =
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m = -2
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m = -2, b =
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m = -2, b =
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m = -2, b = 3
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m = -2, b = 3
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.4x + 2y = 6 -4x -4x
2y = -4x + 6 2 2 2 y = -2x + 3
• Graph: m = -2, b = 3
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
y = -2x + 3• Graph: m = -2, b = 3
1
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
y = -2x + 3• Graph: m = -2, b = 3
1
2
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
y = -2x + 3• Graph: m = -2, b = 3
1
2
1
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
y = -2x + 3• Graph: m = -2, b = 3
1
2
1
Ex. 2 Graph 4x + 2y = 6 using slope-intercept form.
• Change eq. to slope-int. form.
4x + 2y = 6
-4x -4x
2y = -4x + 6
2 2 2
y = -2x + 3• Graph: m = -2, b = 3
1
2
1
Write a linear equation in slope-intercept form to model each situation.
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y =
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y =
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 +
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 +
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 + 0.5
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 + 0.5
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 + 0.5?
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 + 0.5x
Write a linear equation in slope-intercept form to model each situation.
Ex. 3 You rent a car for $200 plus $0.50 per mile driven.
y = 200 + 0.5x