Question

Use the graph shown at the right.

8. What is the slope of the line?

8.

9. Find the x- and y-intercepts of the line.

9.

10. Write a direct variation equation

relating x and y.

Answer 1

Slope of the line is $\frac{-2}{3}$.

x-intercept is 0 and the y-intercept is 0.

direct variation equation  relating x and y is $y=\frac{-2}{3}x$.

Solution:

Let the points on the line are (–3, 2) and (3, –2).

$x_1=-3, y_1=2, x_2=3, y_2=-2$

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{-2-2}{3-(-3)}$

$m=\frac{-4}{3+3}$

$m=\frac{-4}{6}$

$m=\frac{-2}{3}$

Slope of the line is $\frac{-2}{3}$.

The x-intercept is, where a line crosses at x-axis.

The y-intercept is, where a line crosses at y-axis.

Here, x-intercept is 0 and the y-intercept is 0.

Direct variation form:

y = mx

$y=\frac{-2}{3}x$

Hence slope of the line is $\frac{-2}{3}$.

x-intercept is 0 and the y-intercept is 0.

direct variation equation  relating x and y is $y=\frac{-2}{3}x$.