Answer:
[tex]y = \frac{3}{4}x - 3[/tex]
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
[tex] y \: = \: \frac{3}{4} x \: - 3[/tex]
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
