5.4 slope intercept form
TRANSCRIPT
Slope Intercept Form
5.4
X Intercept
Where the line crosses the x axis
Where the line crosses the y axis
Y Intercept
Find the x and y intercepts. Then graph the functions below.1. x + y = -2
X -intercept - 0 for y
X + 0 = -2X = -2 (-2, 0)
0 + y = -2
X + y = -2 Y-intercept - 0 for x
Y = -2 (0, -2)
Find the x and y intercepts. Then graph the functions below.
(-2, 0) and (0, -2)
x
y
Find the x and y intercepts. Then graph the functions below.
X -intercept4x + 5(0) = 204x + 0 = 204x = 20
4(0) + 5y = 204x + 5y = 20
Y-intercept
0 + 5y = 20
5y = 20÷4_ ÷4
x = 5
(5, 0)
÷5 ÷5
y = 4(0, 4)
3. 4x + 5y = 20
Find the x and y intercepts. Then graph the functions below.
3. (5, 0) and (0, 4)
x
y
Vocabulary
Slope Intercept Form – An equation in the form y = mx + b
Slope Intercept Form - Example
4. Write an equation of the line given two points.
m = rise run
(0, 4) (5, 3) = -1 5
1. Calculate Slope
2. Write Equation
Y = mx + b
Y = -1x + 4 5
y
x
5. Write an equation of the line given two points.
m = rise run
(0, 4)
(4, -2)
= -6 4
1. Calculate Slope
2. Write Equation
Y = mx + b
Y = -3x + 4 2
= -3 2
y
x
Write an equation of a line given the following slope and point.
7. Slope is -4; Point is (-1, 3) Step 1: Identify Slope & Pts
m = -4X = -1
Y = mx + bStep 2: Find y-intercept
y =
3 = -4(-1) + b 3 = 4 + b
3
-4 -4-1 = b
Step 3: Write Equation Y = mx + b
Y = -4x + -1
Write an equation of a line given the following slope and point.
9. Slope is 1/2; Point is (4, 3) Step 1: Identify Slope & Pts
m = 1/2X = 4
Y = mx + bStep 2: Find y-intercept
y =
3 = 1/2(4) + b 3 = 2 + b
3
-2 -21 = b
Step 3: Write Equation Y = mx + b
Y = 1/2x + 1
Write an equation of a line that passes through the following points.
10. (-2, 5) and (2, -1)
Step 1: Identify Slope & Pts
slope =rise = y2 – y1 = run x2 – x1
-1 - 5 =2 - (-2)
x1, y1 x2, y2
-6 =4
-32
Write an equation of a line that passes through the following points.
10. (-2, 5) and (2, -1)
Y = mx + bStep 2: Find y-intercept
5 = -3/2(-2) + b
5 = 3 + b -3 -3
2 = b
Step 3: Write Equation
Y = mx + bY = -3/2x + 2
Write an equation of a line that passes through the following points.
11. (1, -2) and (-5,4)
Step 1: Identify Slope & Pts
slope =rise = y2 – y1 = run x2 – x1
4 - (-2) =-5 - 1
x1, y1 x2, y2
6 =-6
-1
Write an equation of a line that passes through the following points.
11. (1, -2) and (-5,4)
Y = mx + bStep 2: Find y-intercept
-2 = -1(1) + b
-2 = -1 + b +1 +1
-1 = b
Step 3: Write Equation
Y = mx + bY = -1x + -1