Exercise 32 Page 142

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

Writing the Equation in Slope-Intercept Form

Since the given equation is not in slope-intercept form, let's rewrite it.

We can highlight the slope m and y-intercept b of our equation so that it will be easier to create the graph. y= 2x + 6 The slope is 2 and the y-intercept is 6.

Graphing the Equation

A slope of 2 means that for every 1 unit we move in the positive horizontal direction, we move 2 units in the positive vertical direction. m=rise/run=2/1 To graph the equation, plot the y-intercept and then use the slope to find another point on the line.

Identify the x-intercept

Now that we have graphed the given function, we can use our graph to identify the x-intercept. This is the point at which the line intercepts the x-axis.

The line crosses the axis at (-3,0), so the x-intercept is -3.