Question

1. Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-2);y=-x-2

A. y=-2x
B. y=2x
C. y=1/2x
D. y=-x***

2. Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (2,-1);y=-3/2x-6

A. y=-3/2x+1
B. y=-3/2x-1
C. y=-3/2x+2***
D. y=-3/2x+4

3. Write an equation in slope- intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (4,2);x=-3

A. y=2
B. y=2x+4
C. y=4x
D. y=4***

4. Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (-2,3);y=1/2x-1

A. y=1/2x+1
B. y=-2x-1***
C. y=1/2x-1
D. y=-1/2x-1

5. Write an equation in slope- intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation. (5,0);y+1=2(x-3)
A. y=-1/2x+5
B. y=2x-5
C. y=1/2x-2
D. y=-1/2x+5/2***

Can these be Checked?

Answer 1

Eliminate all the answers that aren't parallel, then eliminate the answers which don't pass through the given point for X,Y

So for the graph to be "PARALLEL" it must have the exact same slope. The "slope" is represented by the value in front of the 'X'. This is very useful information. If we have y=2x + 5, a PARALLEL line might be y=2x+3.

So you can look at something like question 1 and see that in all the possible answers, only option C has the same slope as the slope (-1) in y=-x-2.

Now, onto question 2 where we'll need to eliminate answers based on whether or not they pass through the given point.

We know that the correct answer to question 2 will pass through the point 2,-1 (that's x=2, y=-1). So we can plug in '2' for X into each answer's equation and see which equation returns -1 for our y value. The only one which does in answer 2 is C.

By the way, for the question asked in question 3, I think you meant to write y=-3 instead of x=-3

Answer 2

Note that in my response, I made a typo in this line:

"So you can look at something like question 1 and see that in all the possible answers, only option C has the same slope as the slope (-1) in y=-x-2. "

I meant to write option D

Answer 3

Oh, put the "Can these be checked" in the top of the post next time xD

Your answer to question 3 is incorrect.

Answer 4

Actually all my answers where correct you where a little late.