Question

Write an equation in slope-intercept form for the line containing the giving points (10,2) (2,-2)

Answer 1

(y - yo) = m.(x - xo)

(-2 - 2) = m.(2 - 10)

-4 = m.(-8)

m = -4/-8

m = 1/2

(y - yo) = 1/2.(x - xo)

(y - 2) = 1/2.(x - 10)

y - 2 = 1/2x - 5

y = 1/2x - 5 + 2

y = 1/2x - 3

Answer 2

Answer:

y = $\frac{1}{2}$x - 3

Step-by-step explanation:

Slope formula: $\frac{y2-y1}{x2-x1}$

Plug in the 2 points:

$\frac{-2-2}{2-10}$

$\frac{-4}{-8}$

$\frac{1}{2}$

Plug either point and the slope into y = mx + b:

2 = $\frac{1}{2}$(10) + b

solve for b:

2 = 5 + b

b = -3

Rewrite the equation:

y = $\frac{1}{2}$x - 3