Question

What are the intercepts of the line -5x-4y=10

Answer 1

• Slope-Intercept Form: y = mx + b, with m = slope and (0,b) as the y-intercept.

So starting with the y-intercept, the easiest method to find it is to convert this standard form equation to slope-intercept form. Firstly, add 5x to both sides:

$-4y=5x+10$

Next, divide both sides by -4 and your slope-intercept form is $y=-\frac{5}{4}x-\frac{5}{2}$

Looking at this slope-intercept form, the y-intercept is (0, -5/2).

Now to find the x-intercept, just set the y-variable to zero and solve:

$-5x-4*0=10\\-5x=10\\x=-2$

Our x-intercept is (-2,0).