SOLUTION: If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line? * 2,1 * 1,1 * 0,1 Please help me, thanks.

Question 1142984: If a line contains the point (0, -1) and has a slope of 2, then which of the following points also lies on the line?
* 2,1
* 1,1
* 0,1
Please help me, thanks.
Found 3 solutions by amarjeeth123, josmiceli, greenestamps:
Answer by amarjeeth123(569)   (Show Source): You can put this solution on YOUR website!
Slope m=2
The given point is (0,-1)
Let the equation of the line be y=mx+c where c is the y-intercept.
Plugging in the point in the line we get,
-1=0+c
c=-1
The equation of the line is y=2x-1
The point (1,1) also lies on the straight line.
Answer=(1,1)
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
[ change in y ] / [ change in x ] = slope
Test each point:
(1)

not on the line
--------------------
(2)

on the line
--------------------
(3)

This is a vertical line which has an infinite slope
therefore not on the line

Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

The math will be more interesting to you if you understand it, rather than solving problems by plugging numbers into formulas. Try solving this problem using a basic understanding of slope.

A slope of 2 means you go up 2 units for every 1 unit you move to the right. See how far you move to the right and up or down to get from the given point (0,-1) to each of the answer choice points.

(0,-1) to (2,1): right 2, up 2. NOPE! With a slope of 2, right 2 would have to be up 4.

(0,-1) to (1,1): right 1, up 2. YES! That is what we need with a slope of 2.

(0,-1) to (0,1): right 0, up 2. In this case, we haven't moved right at all, so the slope is undefined.
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