Warm-Up
Homework Check
Unit 4 Linear FunctionsSlope and introduction to slope-intercept
An equation whose graph is a line is a Linear Equation.
Examples of Linear Equations:
The y-intercept is the y-coordinate of the point where a line crosses the y-axis.
Y-intercept:
SLOPE: (rate of change)
Step 1: Write the slope-intercept form equationStep 2: Substitute the given slope or find it
given two pointsStep 3: Substitute the y-intercept from
Ex) Write an equation of the line with
Write the equation of a line that goes through the points (-3, 2) and (-6, 5) with a y-intercept of 7.
Write the equation of a line that goes through points (1,5) and (3, 9)
Step 1: Find two points on the graph.
Step 2: Find the slope of those points
Step 3: Determine the y-intercept
Step 4: Write the equation of the line
Write an equation of the line:
Write the equation of the line:
Graphing a line given the equation
Step 1: Graph the y-intercept.Step 2: Using the slope, graph a second point
on the line.Step 3: Draw a line through the two points
The base pay of a water-delivery person is $210 per week. He also earns 20% commission on any sale he makes. The equation t=210 + 0.2s relates total earnings t to sales s. Graph the equation.
Homework