Question

A line is drawn through (–7, 11) and (8, –9). The equation y – 11 = (x + 7) is written to represent the line. Which equations also represent the line?

Answer 1

y – 11 = (x + 7) ... they got this equation by plugging one of your two points into point-slope form ... y - y₁ = m(x - x₁). the other equation that represents the line could involve your second point that they gave you (8, -9).

y + 9 = (x - 8), for example. then you can convert it to slope intercept, y = mx + b format and get a third line:

y + 9 = x - 8 .... subtract 9
y = x - 17

i don't know how many different equations the question wants, but there are two of them for you.

Answer 2

3y+4x=5

Explanation:

step 1

Find the slope

we have

(–7, 11) and (8, –9)

m=(-9-11)/(8+7)

m=-20/15

m=-4/3

step 2

Find the equation of the line into point slope form

we have

m=-4/3

point (-7,11)

substitute

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

Multiply by 3 both sides

3y-33=-4(x+7)

3y-33=-4x-28

3y+4x=33-28

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