Question

What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?



y = x +

Answer 1

?

Answer 2

Ignore me

Answer 3

First we write the equation in point-slope form, then we simplify it.

\(y - y_1 = m(x - x_1)\)

Where (x1, y1) is the given point, and 'm' is the slope.

Can you plug in (6, 2) with a slope of 3 into that equation? @gummybear1021

Answer 4

Vertex form is for parabolas..lol. @swagmaster47

Answer 5

Oopsie

Answer 6

umm y=4x+2?

Answer 7

idk Im confused

Answer 8

Well first we plug in the points into the equation:

\(x_1 = 6\)
\(y_1 = 2\)
\(m = 3\)

\(y - y_1 = m(x - x_1)\)

\(y - \color{red}2 = \color{red}3(x - \color{red}6)\)

Okay, now that we have our equation in point-slope form, all we have to do is simplify to get it into slope-intercept form.

So can you simplify this part?

\(3(x - 6)\)

Answer 9

umm idk, ummmm 3?

Answer 10

It's not going to be a 1 number answer..

\(3(x - 6) \rightarrow (3 \times x) + (3 \times -6)\)

So can you multiply 3 * x and 3 * -6?

Answer 11

but whats x?

Answer 12

You dont need to find x, it is a function :)

Answer 13

Unless you want to find the x intercepts

Answer 14

im so confused...

Answer 15

Okay, can you tell me what 3 * x is?

Answer 16

3x right?

Answer 17

Yes!

Now can you tell me what 3 * -6 is?

Answer 18

-18

Answer 19

Yes, so \(3(x - 6)\) simplifies to \(3x - 18\).

So now we have:

\(y - 2 = 3x - 18\)

Our last step to converting into slope-intercept form is the add 2 to both sides. And what's -18 + 2?

Answer 20

-16?

Answer 21

Yep, so our final answer is:

\(y = 3x - 16\)

Answer 22

thnx