Question

Find the equation of a line that contains the points (-7, 2) and (2, -2). Write the equation in slope-intercept form using

fraction if necessary.

Answer 1

`y=-(4)/(9) x-(10)/(9)`

Explanation:

(-7, 2) and (2, -2)

Slope:

m=(y2-y1)/(x2-x1)

m=(-2-2)/(2+7)

m=(-4)/9

m= -4/9

y - y1 = m(x -x1)

y - 2 = -4/9(x + 7)

y - 2 = -4/9x - 28/9

y = -4/9x -10/9

Answer 2

y = -4/9x - 10/9

Explanation:

(-7, 2) and (2, -2)

slope: y2-y1/x2-x1

-2-2 / 2+7

-4/9

y = mx + b

y = -4/9x + b

plug in (2,-2)

-2 = -8/9 + b

b = -10/9

y = -4/9x - 10/9