SOLUTION: Which equation is of a line that passes through (2, -2) and (0, 2)?

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Question 1091412: Which equation is of a line that passes through (2, -2) and (0, 2)?
Found 2 solutions by math_helper, MathTherapy:
Answer by math_helper(2461)   (Show Source): You can put this solution on YOUR website!
y = mx + b
where m = slope (change in y over change in x)
b = y-intercept (where the line crosses y-axis)
m can be found by the two points: m = (-2-2)/(2-0) = -4/2 = -2
Now we have y = -2x + b and just need to use one of the two points to find b:

2 = -2(0) + b —> b = 2
Plug this value in for b to complete the equation:
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Ans:
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Check: (0,2): y = -2(0) + 2 = 2 (ok, the line passes through (0, 2))
(2,-2): y = -2(2) + 2 = -2 (ok, the line passes through (2,-2))
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Which equation is of a line that passes through (2, -2) and (0, 2)?
1) Find the slope using the slope formula

2) Substitute slope and y-intercept into the slope-intercept form: y = mx + b to get the equation.

You should realize that the y-intercept's coordinates were given, so the y-intercept is right in front of you. 

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