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

Answer:

Step-by-step explanation:

Answer 2

Answer:

$y=-\frac{4}{3}x+\frac{5}{3}$

$4x+3y=5$

Step-by-step explanation:

we have

$y-11=-\frac{4}{3}(x+7)$ -----> 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

$y-11=-\frac{4}{3}(0+7)$

$y=-\frac{28}{3}+11$

$y=\frac{5}{3}$

therefore

$b=\frac{5}{3}$

substitute

$y=-\frac{4}{3}x+\frac{5}{3}$  ----> equation of the line into slope intercept form

step 2

Find the equation of the line in standard form

$Ax+By=C$

we have

$y=-\frac{4}{3}x+\frac{5}{3}$

Multiply by 3 both sides

$3y=-4x+5$

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