Question

What is the slope of the line passing through the points (4, -2) and (-5, 4)?

Answer 1

Alright to solve the problem

make the equation

y = mx + b

b = y - mx

(5,4) ---> x=5, y=4 and M=-4

b = 4 - (-4)(5) = 4 - (-20) = 4 + 20 = 24

The equation is y = -4x + 2/-3

So that would be the slope of the line.

Hope this helps

Answer 2

Hi there! :)

Explanation:

`Slope=(Y_2-Y_1)/(X_2-X_1)=(RISE)/(RUN)`

`(4-(-2))/((-5)-4)=(6)/(-9)=(6/3)/(-9/3)=(2)/(-3)=-(2)/(3)`

Therefore, the slope is -2/3.

`\boxed{-(2)/(3) }`, is the final answer.

Hope this helps!

Thanks!

Have a nice day! :)

-Charlie