Question

What is the slope-intercept form of the function that contains the point (3, 4) and has a slope of 2?



y = x +

Will fan/medal

Answer 1

@mathstudent55
@paki
@iambatman

Answer 2

First of all, the basic equation of a linear equation is:
\[\huge{y=mx+c}\]
Where:
\[m=Slope\]\[c=y-intercept\]

Answer 3

The problem is that we don't know what \(c\) is. So we need to find it
Another form of expressing a linear equation is:
\[\huge{y-y_1=m(x-x_1)}\]
Where:
\[m=Slope\]\[Point=(x_1,y_2)\]

Answer 4

\[y-4=m(x-3)?\]

Answer 5

Exactly. But we know what \(m\) is, right?

Answer 6

No

Answer 7

Yes we do. What is the slope?

Answer 8

Oops 2..

Answer 9

Its fine :)
Now, we know a point, and we know the slope, so lets work from there!
\[y-y_1=m(x-x_1)\]\[y-4=2(x-3)\]\[y-4=2x-6\]\[y=2x+2\]

Answer 10

Sorry, its \(-2\)

Answer 11

hmm...
\[\frac{ y }{ y }=2x+\frac{ 2 }{ y }\]

Answer 12

Why do you wan't to divide by y?

Answer 13

Isn't that how it works?

Answer 14

Nope. You don't need to divide by y :)

Answer 15

Ugh.

Answer 16

very very well expressed.

Answer 17

Thanks, @Sepeario :D