Question

Help anyone can help me do this question 3,I will mark brainlest.​

Answer 1

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = $\frac{9-3}{-3-(-9)}$ = $\frac{6}{-3+9}$ = $\frac{6}{6}$ = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = $\frac{9-1}{-3-5}$ = $\frac{8}{-8}$ = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled