Question

slope intercept of line containing (4, -1); parallel to 4x-9y=2

Answer 1

Slope intercept form is:
y = mx+b, where m is the slope and b is the intercept

Answer 2

i know. and parallel is the same slope.
but whats really throwing me off is that its in standard form.

Answer 3

parallel to 4x-9y=2 means they have the same slope. To find it, get 4x-9y=2 into slope intercept form.

Answer 4

4x-9y=2
4x-9y-4x=2-4x
-9y = -4x + 2
y = (4/9)x - (2/9) <- This is the form mx+b, where m = 4/9, thus the slope is 4/9.

Answer 5

So now you just use the following equation:
y-y1=m(x-x1), where m is the slope, and (x1, y1) is the point.

Answer 6

so its would be y=4/9(x-4)-1?

Answer 7

y - (-1) = (4/9)(x-4)
y = (4/9)x-(16/9)-1
y = (4/9)x - (25/9) <- FINAL ANSWER

Answer 8

could you continue to help me tonight? you seem to be the only nice person here...im not cheating. i just want to understand T_T