Question

write the answer in slope intercept and standard form.

parallel to y=-5 and through (2,7)

Answer 1

slop intercept form is y=mx+b where m is the slop and b is the y-intercept

Answer 2

right. but how do i solve for the slope?

Answer 3

slope formula is
\[\frac{ y2-y1 }{ x2-x1 }\]

Answer 4

so: 2 is x1 and 7 is y1. but what is x2 and y2?

Answer 5

y-7=slope(x-2) ?
or would -5 have to be put somewhere?

Answer 6

The "slope" is the gradient, that is, m in the equation y=mx +b. However, if you look at y=-5, you should see that there is no x value in that equation, hence m must be equal to 0, which means it's just a flat line.
Considering the line you're looking for is parallel to this flat line, it must also be a flat line, such as y = 1, y = 2, y = 3, etc. The x-value of the point is irrelevant - consider the y-value of the point you're given, use that as the "b" in your equation, and from there you should be able to work our the new line's formula.

Answer 7

If standard form means general form (we learnt different terminology) then after you've found the slope-intercept form, rearrange the equation so you have everything on one side being equal to 0.

Answer 8

i think i understand. can you wait while i try to solve your equation?

Answer 9

y=-5x-17

Answer 10

or, to put it into y=mx+b........ y=-5x + -17

Answer 11

so standard form is 5x+1y=-17, right?

Answer 12

Think about it this way - there is no x in the equation, because m (the number before x) is always equal to 0, and anything multiplied by 0 is 0.
What would you get then?

Answer 13

ok u know \[b=0\]

Answer 14

\[x=-2,y=7\]

Answer 15

Actually I disagree, I think b = -17

Answer 16

-7, I mean*

Answer 17

ur equation of line is\[y=mx+b\]

Answer 18

Hold on, just 7... ahh I keep reading it wrong.

Answer 19

I think the result would be y = 7, as that line is parallel to y = -5

Answer 20

this is how i got it:
y-7=-5(x- -2)
(adding 7 to both sides) 7+y-7=-5x-10+7
y=-5+ -17

slope intercept: y=-5x+ -17
standard: 5x+1y=-17

Answer 21

But you made an error in your working, Amenah. See, you placed -5 as the gradient in that equation, where in fact the gradient is 0. If two lines are parallel, they have the same gradient, and considering the gradient of y = -5 is 0, the gradient of the equation you're looking for must also be 0.

Answer 22

so: b=-17?

Answer 23

y=7

Answer 24

7=-5x+0 ?
b=0?

Answer 25

sorry: 0=-5x+7 ?

Answer 26

could i send a message to you tomorrow to continue helping me? i'm being forced to get in the bed now by my mom :)
Thanks for the help!

Answer 27

Sure, no problem