Question

Find the equation of the linear function represented by the table below in slope-intercept form.

Answer 1

Explanation:

recall slope m is:

slope = m

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

point P1 (0,-8) in the form (x1,y1)

point P2(1,-2) in the form (x2,y2)

m = { -2-(-8) } / { 1-0 }

m = { -2+8 } / 1

m = 6 /1

m = 6

then plug in any point, I'll use P1

y - y1 = m(x -x1) (point-slope formula)

y - (-8) = 6*(x-0)

y+8 = 6x

y= 6x -8 (slope-intercept formula) :)

Answer 2

y= 6x-8

Explanation:

you pick two y values and subtract them. then take two x values and subtract them. divide those two awnsers with y on top. the -8 is the y intercept because when x is 0, the y is -8.