Question

find the slope-intercept form of the line whose slope is 4 and that passes through the point (-3,6)
The equation of the line is?

Answer 1

y = 4x + b. Find b.
Write that this line passes through point (-3, 6):
6 = 4(-3) + b -> b = .....

Answer 2

can anyone help me please?

Answer 3

@thu1935: thank you for contributing. However, the equation you posted is the slope-intercept form, NOT the point-slope form.

@jamone: Hello! It'd be helpful if you would write down both the point-slope form and the slope-intercept form of the equation of a straight line.

You are given the slope, m = 4, along with one point thru which your line passes, (-3,6). Substitute the coordinates of this point, and that slope, into \[y-y _{1}=m(x-x _{1})\]

Answer 4

(this latter equation is the "point-slope" form of the equation of a str. line.

Answer 5

4x-y=18

Answer 6

That may be right, Jamone, but please, show me the actual work you did in obtaining that answer. You didn't do what I asked you to do, which was to substitute the coordinates of the given point, along with the given slope, into the point-slope formula for a straight line.

Answer 7

y-y1=m(x-x1)
y-6=4(x-(-3)
y-6=4x+3
y-6=4(x+3)
y-6=4x+12
4x-y+6=12
4x-y=18

Answer 8

thank you very much. Nice work. It's really worth going through all these steps. I think you've learned something valuable. Good going!

Answer 9

I need to log off now, but hope to work with you again another time.

Answer 10

thank you, have a good one.