x intercept at (-3,0) and (8,-4) lies one the line

Question

please solve this question now

Answer 1

We have two points on the line.

First find the slope:

m = (-4-0)/(8-(-3)) = -4/11

 

In slope intercept form the equation

looks like y = (-4/11)x + b

 

Using one of the original points given for (x,y)

solve for b.  Let's use (-3,0).

 

0 = (-4/11)(-3) + b

0 = 12/11 + b

-12/11 = b

 

Your equation, in slope intercept format, is:

y = (-4/11)x - 12/11

 

To put this in standard form, multiply through

by 11.

 

11y = -4x - 12

add 4x to both sides

4x + 11y = -12