Question

Please help me
I dont understand this

Answer 1

Answer:

$y=-5(x+2)-1$

$y=-5(x+3)+4$

Step-by-step explanation:

Two points on the line are (-3, 4) and (-2, -1)

Therefore:

$\textsf{let}\:(x_1,y_1)=(-3,4)$

$\textsf{let}\:(x_2,y_2)=(-2,-1)$

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{-1-4}{-2-(-3)}=-5$

Point-slope form of linear equation:  $y-y_1=m(x-x_1)$

Substituting point (-3, 4) in the point-slope equation:

$\implies y-4=-5(x-(-3))$

$\implies y=-5(x+3)+4$

Substituting point (-2, -1) in the point-slope equation:

$\implies y-(-1)=-5(x-(-2))$

$\implies y=-5(x+2)-1$