SOLUTION: Which of the following equations describes the line shown below? Check all that apply. (-4, 10) (-7, -5) A. y - 5 = 5(x - 7) B. y + 5 = 5(x + 7) C. y + 10 = (x - 4)

Algebra ->  Graphs -> SOLUTION: Which of the following equations describes the line shown below? Check all that apply. (-4, 10) (-7, -5) A. y - 5 = 5(x - 7) B. y + 5 = 5(x + 7) C. y + 10 = (x - 4)       Log On


   

Question 1105519: Which of the following equations describes the line shown below? Check all that apply. (-4, 10) (-7, -5)
A. y - 5 = 5(x - 7)
B. y + 5 = 5(x + 7)
C. y + 10 = (x - 4)
D. y - 10 = 5(x + 4)
E. y - 10 = (x + 4)
F. y + 10 = 5(x - 4)
Found 2 solutions by Fombitz, math_helper:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Plug the values in for x and y.
If both values make the statement true then you have your answer.
Example: (-4,10)
y-5=5%28x-7%29
10-5=5%28-4-7%29
5=5%28-11%29
5=-55
False, so you know that A is not a line containing both (-4,10) and (-7,-5).
There's no need to check point (-7,-5) since the first point already failed.
If the first point yields true, then you must check the second point.
.
.
.
Follow the same procedure for the remaining letters.

Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
One form for the equation of a line is y-y0 = m(x-x0)
where m=slope and (x0,y0) is a point through which the line passes
Calculating m is just rise/run or (y1-y0) / (x1-x0)
Here you have m = (10-(-5)) / (-4-(-7)) = 15 / 3 = 5
So now you just need to compare the possible answers to
y-y0 = 5(x-x0) <<<— just keep in mind EITHER point given can be assigned to (x0, y0)
Using (-4,10) : y-10 = 5(x+4)
Using (-7,-5): y+5 = 5(x+7)
Comparing these two equation with the answer choices shows only B and D work.