The x-intercept of a positively-sloped line is -5, and the area of the triangle formed by the line, the x-axis, and the y-axis is 10. What is the slope of the line?

grif389 Jan 5, 2019

#1**+1 **

The x-intercept refers to when y=0.

Also, since the x-intercept is -5, then that means one of the legs of the right triangle is 5.

Using the formula for the area of a triangle, \(\frac{5h}{2}=10 \rightarrow 5h=20 \rightarrow h=4\)

Now you have 2 points, (-5, 0) and (0, 4) (using (0, -4) also works i think)

Find the slope to be \(\boxed{\frac{4}{5}}\)

.asdf1243 Jan 5, 2019