Question

What is the equation of the line graphed?

A)
y = 3x


B)
y = 3x - 2


C)
y = -3x - 2


D)
y = -3x + 2

Answer 1

to find the equation you need any two points on the line
let us pick (0,-2) and (1,1)
we can find the slope
$m = slope = \frac{ - 2 - 1}{0 - 1} = \frac{ - 3}{ - 1} = 3$
using the point-slope equation
(y-y1)=m(x-x1) so choosing either of the points i will pick (1,1)
y-1=3(x-1)
y-1=3x-3
y=3x-2 which is b