Question

HELP!!! i need to finish this lesson!
Write the equation of the line that passes through (3, 6) and (0, –3) in slope-intercept form.

Answer 1

Y= mx+b
m=slope
b=y-intercept

Ok, you know your y-intercept right of the bat. do you know what that is?
You also will find your slope through the two coordinates.

Answer 2

Ok, and then what?

Answer 3

@mramirez686

Answer 4

Well you know what your y-intercept is right?

Answer 5

no.. @mramirez686

Answer 6

y-intercept is when the line crosses the y axis. This is when x = 0. That coordinate is given.

Answer 7

ok i get that

Answer 8

to find your slope, the equation is \[\frac{y_{1}-y_{2} }{x _{1}-x _{2} }= m\]

Answer 9

So, right now, you know y=mx-3. next step is to get slope.

Answer 10

(3,6) \[\frac{ 6-(-3) }{ 3-0 }=\frac{ 9 }{ 3 }\]
(0,-3)

Answer 11

do you understand how I got that?

Answer 12

So your slope is 9/3 or simply 3.

Now you have your equation:

y=3x-3

Answer 13

To check if you are right, insert a given coordinate. In other words, replace the x and y.

(3,6)
y=3x-3
(6)=3(3)-3
6=9-3
6=6

...and you are good. Any questions?