Exercise 32 Page 78

Equations written in slope-intercept form follow a specific format. y=mx+ b In this form, m represents the slope of the line and b represents the y-intercept.

Identifying Slope and Intercept

Since the given equation is not in slope-intercept form, let's rewrite it so that it will be easier to identify the slope and y-intercept.

Below we highlight the slope m and y-intercept b. y=5/2x+ 2 The slope is 52. The y-intercept is 2, so the graph crosses the y-axis at the point (0, 2).

Graphing the Equation

A slope of 52 means that for every 2 units we move in the positive horizontal direction, we move 5 units in the positive vertical direction. m=5/2 ⇔ rise/run=5/2 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.