Write the equation of the line that passes through the points (5,-10) and (12,-17) in slope intercept form

Respuesta :

Answer:

        m = -1

Step-by-step explanation:

[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(5, -10)    ⇒   x₁ = 5,  y₁ = -10

(12, -17)    ⇒   x₂ = 12,  y₂ = -17

So the slope:

                    [tex]\bold{m=\dfrac{-17-(-10)}{12-5}=\dfrac{-7}7=-1}[/tex]