Question

Determine the intercepts of the line.
y=-3x+12y=

Answer 1

ignore the last equal sign

Answer 2

y = -3x + 12

To find the x-intercept, you plug in y = 0 and solve for x
To find the y-intercept, you plug in x = 0 and solve for y

Answer 3

So let's find the x-intercept first

y = -3x + 12

Plug in y = 0 and we'll get

0 = -3x + 12

can you solve for x?

Answer 4

no i dont know how to solve this

Answer 5

we want to get x all by itself

so we have 0 = -3x + 12

Let's take 12 to the other side
What happens when you subtract 12 on both sides?

Answer 6

judging from your silence, mhmm

let's break it down even further

what is 0 - 12= ?

Answer 7

-12?

Answer 8

okay so

0 = -3x + 12

subtracting 12 on both sides

0 - 12 = -3x + 12 - 12

now 12 on the right side of the equation gets cancelled out and we're left with

-12 = -3x

What is -12/3 = ?

Answer 9

4?

Answer 10

nono negative 4

Answer 11

oops, you're right but I forgot the negative

so what is -12/-3 = ?

Answer 12

ok so 4

Answer 13

yes so we get

-12 = -3x

divide -3 on both sides and we'll get

-12/-3 = -3x/-3

4 = x

so our x-intercept is 4

Answer 14

Does that make sense?

Answer 15

For whenever you come back online-

To find the y-intercept, just plug in x=0

y = -3x + 12
y = -3(0) + 12

What is -3 * 0 = ?
And then add 12

And that's your y-intercept