A line has slope 2 and (3, 4) is on the line. What's the correct equation that describes this line in slope-intercept form?

Question

mathstudent55 · Answer

Slope-intercept form:
y = mx + b
m = slope, b = y-intercept
You have the slope, m = 2, and you know one point, (3, 4).
Write as much of the equation as you know already:
y = 2x + b
You still don't know b, but you can find it.
Replace x and y in y = 2x + b with the point you are given and solve for b.
Then rewrite the equation weith the given slope and the value you find for b.

anonymous · Answer

So it'd be y=2x - 2 ?

mathstudent55 · Answer

You have y = 2x + b
Substitute x and y with 3 and 4, repectively.
What equation do you get?

anonymous · Answer

It's either 2x=y +2 or y=x + 2

mathstudent55 · Answer

I'm not interested in choices. I'm interested in learning how to solve the problem.
We were up to y = 2x + b
Now replace x with 3 and y with 4. What equation do you get?

anonymous · Answer

do you multiply 2 and 3 ? if your replacing the x with three ?

mathstudent55 · Answer

Can you please just replace x with 3 and y with 4 and show it?