Step-by-step explanation:
-3-(-8)/10-2=
(-3+8)/(10-2)=
5/8=slope
y-y1=slope(x-x1)
y+3=5/8(x-10)
y=5/8x-6.25-3
y=5/8x-9.25
To find the slope(m), use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] And plug in the two points
K(2, -8) = (x₁, y₁)
J(10, -3) = (x₂, y₂)
[lines go from left to right, so the point furthest to the left is the 1st point]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{-3-(-8)}{10-2}[/tex] [two negative signs cancel each other out and become positive]
[tex]m=\frac{-3+8}{10-2}[/tex]
[tex]m=\frac{5}{8}[/tex]
