Respuesta :

miriyu
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.
calculista

Answer:

3y+4x=5

Step-by-step 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

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