Question

The graph of the linear equation y = 2x + 3 is shown. if the right side of the equation is multiplied by -1, how does the graph of the equation change?

A. only slopes changes.
B. only the y-intercept changes.
C. both the slop and the y-intercept change.
D. only the x-intercept changes.

Answer 1

the math gif dont work

Answer 2

how else can i send it then ??

Answer 3

Well, let's multiply it by -1!

When you multiply something by -1, the sign of the integer changes. If the number was positive, it's now negative. If the number was negative, then it is now positive.

Answer 4

With that information, do you know what our equation will look like if we multiply it by -1?

Answer 5

so after we multipy it it will become positive ?

Answer 6

No, it will become y = -2x - 3

When you multiply the equation by -1, you multiply each term by -1, so

y = 2x + 3

y = 2x(-1) + 3(-1)

y = -2x - 3

Answer 7

oh..

Answer 8

Now compare the two equations. What's different?

Answer 9

What changed? The y-intercept? The slope? Both?

Answer 10

The y-intercept

Answer 11

i think im still working on my math

Answer 12

oh, so B

Answer 13

Nope, the y-intercept in the original problem was 3, now is -3. Look at the slope in the original equation.It's positive 2x, but after we multiplied it by -1, it changed to a negative 2x.

That means both changed :)

Answer 14

Ooohhhh

Answer 15

oh !, so it would be C

Answer 16

Correct

Answer 17

thanks :D