Geometry Help. Not really asking much...?

Question

These problems have been driving me crazy for a while and I am still clueless of how to work them out.

Here are the problems:
http://img477.imageshack.us/img477/4169/help1dw1.png

There are only 3.

I'm not expecting nor asking you to directly give me the answer, (I hope you won't!)
I just want to know what steps I would need to make in order to get the answer. Like how exactly do I solve the problem?

Thanks everyone! All were great answers except the first. >_>

Answer 1

Question 1
m = 1
y - 3 = 1 (x - 0)
y = x + 3

Question 2a)
y + 6 = - 2 x
y = - 2x - 6

Question 2b)
y - 4 = (1/2) (x - 3/2)
y = (1/2) x - 3 / 4 + 4
y = (1/2) x + 13 / 4

Question 3
y - 6 = (-1) (x + 3)
y = - x - 3 + 6
y = - x + 3

Answer 2

Okay for the first part: y= x-8. y-int=3. Parallel line.
Use y=mx+b as a guideline. m is slope, b is the y-intercept. If a line is parallel to another it means their slopes, m, are equal.
The y-intercept, being 3, corresponds to the letter b. m for this equation is the same as y=x+8. m=x.

For the rest, again use y=mx+b.
y= -2x+b. Substitue the coordinates P(0, -6) for x and y, solve for b. Rewrite the equation with the value for b you found and the known slope.

y= (1/2)x+b. Same for the previous, just use P(3/2, 4)

If you want to make sure you have the right equation just substitue the coordinates into the equation you found and solve for one of the variables, x or y.

For the final question, again the slopes are the same, so m= -x. Use y= -x+b. Plug in the coordinates and find b.

Answer 3

If you know that the slope / y-intercept form of a line equation is y = mx + b where m is the slope and b is the y-intercept then for problem number 1) you know that the slope is 1. So to make a parallel line with a slope of 1 and y-intercept of 3 you have y = x + 3

For 2) you are given a point and a slope. The point is (x, y) so use the general equation above, plug in the x, y and m that you are given and solve for b

3) More of the same - all you need from the equation for the line is that the slope m = -1 use that and the point to solve for b as in 2) above

Answer 4

Okay (whew)

Problem number 1 is easiest


this is a standard equation: y=mx+b

(b) is the y-intercept so therefore: y = mx +3

next we have the fact that (m) is the slope and all parallel lines have the same slope so: y = 1x +3 or y = x +3

and that is the answer: y = x +3


never mind you have plenty of good answers. good luck.

Answer 5

OK, go ahead and ask.

What is the problem?

Answer 6

2 + 2 = 22

your welcome

=]