Question

A line is drawn through (–7, 11) and (8, –9). The equation y – 11=-4/3 (x + 7) is written to represent the line. Which equations also represent the line? Check all that apply.

Answer 1

Explanation:

Answer 2

`y=-(4)/(3)x+(5)/(3)`

`4x+3y=5`

Explanation:

we have

`y-11=-(4)/(3)(x+7)` -----> equation of the line into point slope form

step 1

Find the equation of the line into slope intercept form

`y=mx+b`

where

m is the slope

b is the y-intercept (value of y when the value of x is equal to zero)

For x=0

`y-11=-(4)/(3)(0+7)`

`y=-(28)/(3)+11`

`y=(5)/(3)`

therefore

`b=(5)/(3)`

substitute

`y=-(4)/(3)x+(5)/(3)` ----> equation of the line into slope intercept form

step 2

Find the equation of the line in standard form

`Ax+By=C`

we have

`y=-(4)/(3)x+(5)/(3)`

Multiply by 3 both sides

`3y=-4x+5`

`4x+3y=5` ---> equation of the line in standard form