Question

Which equation describes the line whose x-intercept is (4,0) and whose y-intercept is (0,-3)?

Answer 1

Answer:

$y = \frac{3}{4}x - 3$

Step-by-step explanation:

In slope intercept form y = mx + b

We have the y intercept already so our equation becomes y = mx -3. Now we need to figure out the slope, we do this by subtracting the y values from both points and the x values from both points:

-3 - 0 = -3

0 - 4 = -4

Slope = -3/-4 the negatives cancel and now we have 3/4 as the slope.

Now the equation is y = 3/4x -3

$y \: = \: \frac{3}{4} x \: - 3$

Double checking by inputting values such as x = 0 we now get (0, -3) which is correct and if the x-intercept is 4 then it should give us a y value of 0 which = (4,0). Yep! This is the correct linear equation for the line described