Question

a is the point (0,-2)
b is the point (-4,2)
c is the point (0,,3)
find an equation of the line that passes through C and is parallel to AB

Answer 1

use point-slope form using the slope of AB and the coordinates in C
the slope fo rmula is \(\large m=\frac{y_2-y_1}{x_2-x_1}\)

Answer 2

do you mean
-2-2 over 0-4 =-4/4

Answer 3

\(x_1,y_1)\) is (0,-2)
\(x_2,y_2)\) is (-4,2)

Answer 4

if we do it in your order it'd be
-2-2
----------
0--4

(and not 0-4)

Answer 5

-4/4 =-1 or gradient of -x

Answer 6

-1 is the slope of the line we want (parallel to the line containing A and B)
now we plug it into the point slope form \(y-y_1=m(x-x_1)\)

Answer 7

so y-3=-Cx-0)

Answer 8

"c is the point (0,,3)"
I assume you meant y-3=-1(x-0)=y-3=-x

Answer 9

yes

Answer 10

well get it into slope intercept form to finish

Answer 11

how

Answer 12

y=mx+b

Answer 13

solve for y

Answer 14

?

Answer 15

whats the final answer

Answer 16

y-3=-x
solve for y...

Answer 17

y=3x???????

Answer 18

3-x or -x+3

Answer 19

so the final answer is -x+3

Answer 20

yeah

Answer 21

thank you very much