Question

Write an equation in point slope form line passing through (-4,3), (3,-4)
SHOW WORK

Answer 1

Answer:

$\large\boxed{y-3=-(x+4)}\\or\\\boxed{y+4=-(x-3)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have two points (-4, 3) and (3, -4).

Substitute:

$m=\dfrac{-4-3}{3-(-4)}=\dfrac{-7}{7}=-1$

Put the value of a slope and the coordiantes of the point (-4, 3) or (3, -4) to the equation of a line:

for (-4, 3)

$y-3=-1(x-(-4))\\\\y-3=-(x+4)$

for (3, -4)

$y-(-4)=-1(x-3)\\\\y+4=-(x-3)$