Al and Trixie are trying to find the slope-intercept equation of the line passing through the point (2, 5) with slope -2.

Al begins by writing the equation y - 5 = -2(x - 2).
Next, he distributes to get y - 5 = -2x + 4.

Trixie begins by writing the equation 5 = -2(2) + b.
Then she gets 5 = -4 + b.

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )

y = 3x+4

step-by-step explanation:

to find the slope

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

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4