Exercise 24 Page 312

Equations written in slope-intercept form follow a specific format. y= mx+ b In this form, m is the slope and b is the y-intercept. We need to identify these values using the graph.

y-intercept

The y-intercept is the y-value where the line crosses the y-axis.

We can see that the function intercepts the y-axis at (0, 0). This means that the value of b is 0. y= mx+ 0

Slope

To find the slope, we will trace along the line on the given graph until we find a lattice point which is a point that lies perfectly on the grid lines.

Here we have identified (1,- 1) as our second point. We will now substitute the points into the Slope Formula and calculate the slope. The value of the slope m is - 1.

Writing the Equation

Now that we have the slope and the y-intercept, we can write our final equation. y= - 1x+ 0 ⇔ y=- x