Choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4.

y = 4x - 11

y = 4x + 11

y = 4x + 7

y = 4x - 7

Question

Choose the equation below that represents the line passing through the point (-3, -1) with a slope of 4.

y = 4x - 11

 y = 4x + 11

 y = 4x + 7

 y = 4x - 7

mathstudent55 · Answer

The equation of a line in slope-intercept form is
y = mx + b,
where m = slope and b = y-intercept.
Since you know that the slope is 4, you have
y = 4x + b
Plug in (-3, -1) for x and y, and solve for b. Then compare it with the choices.

anonymous · Answer

-1 = 4(-3) + b
what do i do after

mathstudent55 · Answer

Multiply the 4 and -3 on the right side.

anonymous · Answer

-12

mathstudent55 · Answer

So you have
-1 = -12 + b
Now add 12 to both sides to get rid of -12 from the right side.

anonymous · Answer

11 = b

mathstudent55 · Answer

Right.
Since the equation is 
y = 4x + b, and b = 11, the equation is
y = 4x + 11

anonymous · Answer

ohhh i get it! thank you so much!

mathstudent55 · Answer

You're welcome. Good job!