We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website.
Please click on "Accept cookies" if you agree to the setting of cookies. Cookies that do not require consent remain unaffected by this, see
cookie policy and privacy policy.
DECLINE COOKIES

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