Question

Identify the correct slope and y intercept of the equation 6x – 3y = 12
and
equation of the line passing through the point (–4, –2) and perpendicular to y = –x + 6
Thank you!

Answer 1

@Lotsohelpneeded first thing u must know is how to find a slope of line can u find?????????

Answer 2

I know how but it's hard for me because I have dyslexia

Answer 3

1) Identify the correct slope and y intercept of the equation 6x – 3y = 12.

Slope-Intercept form is:
y = mx + b
m is slope
b is y-intercept

SO, change it into Slope-Intercept form.~
6x – 3y = 12
Subtract 6x from both sides.
-3y = -6x + 12
Divide both sides by -3.
y = 2x - 4

y = 2x - 4
Slope is 2
Y-intercept is -4

Answer 4

Thanks jazy!

Answer 5

Just one lest question? Please?

Answer 6

*last

Answer 7

You're welcome! I have to go now but maybe @Aperogalics can help you with the 2nd one.
Oh and welcome to OpenStudy!

Answer 8

Write the equation of the line in slope-intercept form with a slope of –6 and a y-intercept of 9

Answer 9

Thanks again

Answer 10

Remember Slope-Intercept form is:
y = mx + b
m is slope
b is y-intercept

And plug in the values.(:

y = -6x + 9

Answer 11

@Lotsohelpneeded
y=mx+c is the slope-intercept form
that's not fair @jazy ...lol:)

Answer 12

But wait can I still have the answer to the second problem I originally needed help with

Answer 13

Jazy?

Answer 14

Okay I ended up not leaving! I'll help with the original one.

Answer 15

Thanks

Answer 16

The equation of the line passing through the point (–4, –2) and perpendicular to y = –x + 6

The slope of a perpendicular line is opposite reciprocal. So if our given line has a slope of -1 or -1/1, the new line will have a slope of 1/1 or just 1.

So you have:
Slope of 1
Point (-4, -2)

Use Point-Slope form.
y - y1 = m(x - x1)

y - (-2) = 1(x - (-2))
Two negatives (-) equal to a Positive(+)
y + 2 = 1(x + 2)

You need Slope-Intercept form. So, distribute and solve for y.
y + 2 = 1(x + 2)
y + 2 = x + 2
Subtract 2 from both sides.
y = x + 0
Or
y = x

Answer 17

Thanks jazy!

Answer 18

Welcome! (: And now I really do have to go. lol

Answer 19

But I don;t have that on the answers

Answer 20

they are only
y=-x+6
y=x-6
y=-x-2
y=x+2

Answer 21

nvm