Question

Select all linear equations that have a slope of 5 and pass through the

point (-4,1).

y+4= 5(x-1)
-5x+y=21
y = 5x + 20
y-1=5(x+4)
y = 5x + 21
y-1=5(x- 4)
5x+y= 21
Submit
(Select all that apply.)

Answer 1

Answers:

-5x+y = 21

y-1=5(x+4)

y = 5x+21

Step-by-step explanation

Point slope form is y-y1 = m(x-x1). Plug in the given slope m = 5 and the coordinates of the given point (-4,1) to end up with y-1=5(x+4)

If you were to solve that for y, then you should get y = 5x+21 which is in slope-intercept form. The y intercept is 21. It means the point (0,21) is on the line.

Get the x and y terms on one side to go from y = 5x+21 to -5x+y = 21 which is in standard form Ax+By = C, where A = -5, B = 1, C = 21.

GeoGebra can be used to confirm the answers. Desmos is an alternative tool. There are many others.