Question

Select the equation of a line that is parallel to the line on the graph and passes through the point (2, 3).

Answer 1

y = 2x + 4

y = - 2x + 2

y = - 1 over 2 x + 2

y = - 1 over 2 x + 4

Answer 2

From the graph can you find the slope of the line?

Answer 3

is it 2

Answer 4

or 1/2

Answer 5

slope = rise / run
Also, note that x increases, y decreases which means a negative slope.

Answer 6

its neither
the slope is negative

Answer 7

im not very good at this help me

Answer 8

How did you get the 1/2 before?

Answer 9

slope = rise / run
rise = -1; run = 2
slope = ?

Answer 10

-0.5

Answer 11

Yes. Or you can leave it in fraction as -1/2.

Answer 12

so what next?

Answer 13

Parallel lines have the same slope.
So the line we are looking for has a slope of -1/2 and it passes through (2,3)

The equation of a line with slope m that passes through (x1, y1) is:
y - y1 = m(x - x1)
Here m = -1/2; x1 = 2; y1 = 3
plug the numbers in and solve for y.

Answer 14

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

Answer 15

Yes. multiply it out on the right. Add 3 to both sides and solve for y.

Answer 16

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

Answer 17

y = -1/2 - 2

Answer 18

y = 2.5?

Answer 19

no no wait, y = -1/2 + 2?

Answer 20

Go back to y - 3 = - 1/2x - (-1)
y - 3 = -1/2x + 1
now add 3 to both sides.

Answer 21

no is it y = -1/2x + 4

Answer 22

Yes.

Answer 23

thanks a lot

Answer 24

You are welcome.