Question

Write the slope-intercept form of the equation of the line that passes through (4, 2) with a slope of 3, how do I find the other two coordinates!?

Answer 1

What have you tried?

Answer 2

Our equation will be in the form \(y=mx+b\) where \(b\) is the y value of the y-intercept
and \(m\) is slope.

they gave you slope

so we have \(y=3x+b\), so we need to find \(b\)

So we use the point \((4,2)\). Plug this in to the equation

\(2=3(4)+b\) Solve for \(b\).

Answer 3

Would it be 6? Probably not. What exactly do I do to solve for b in this "2 = 3 (4) + b"?

Answer 4

@zzr0ck3r

Answer 5

yes

Answer 6

\(2=12+b\)

subtract \(12\) from both sides.

Answer 7

y = 3x - 10?

Answer 8

correct

Answer 9

Thank you, you're awesome!

Answer 10

Another way to do it is to use the slope formula:

\[\frac{2 - y}{4 - x} = 3\]

\[2 - y = 3(4 - x)\]
\[2 - y = 12 - 3x\]
\[-y = 10 - 3x\]
\[y = 3x - 10\]

Answer 11

Why thank you for showing me this also, kind sir. I really appreciate the help I have received.

Answer 12

You're welcome