Question

Determine the equations of the following
lines:
(a) having slope ¡1 and passing through (0; 2)
(b) parallel to y=2x-1 and passing through (¡2; 0)
(c) passing through (1; 0) and (¡1; 3)
(d) with x-intercept 6 and y-intercept 3.

Answer 1

I have no clue where to begin.

Answer 2

y-y1=m(x-x1)+b
where m=slope and b=y-intercept

(a)m=1, x1=0, y1=2

(b)since it's parallel, we know that the slopes are equal; m=2

(c)m=(y1-y2)/(x1-x2)
y-y1=m(x-x1)+b

(d)since x-intercept is equal to 6, we know (6, 0). since y-intercept is equal to 3, we know (0,3).
Find the slope: m=(y1-y2)/(x1-x2)
Plug into slope and one of the two coordinates: y-y1=m(x-x1)+b

Answer 3

Thanks so much helps a lot.

Answer 4

Preston, check if the slope shouldn't be
"-1" in
"(a) having slope ¡1 and passing through (0; 2) "
Your computer seems to have a problem getting the negative sign.

Answer 5

yea it is having trouble. thanks again. i am just stuck on my other one now