SOLUTION: Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). More than one can be chosen y = -2x – 4 y = -2x + 16 y – 6 = -2(x –

Algebra ->  Formulas -> SOLUTION: Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). More than one can be chosen y = -2x – 4 y = -2x + 16 y – 6 = -2(x –      Log On


   



Question 1099845: Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4, 8). More than one can be chosen
y = -2x – 4
y = -2x + 16
y – 6 = -2(x – 5)
2x + y = 16
2x + y = -16

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Two ways to solve. Either substitute for both points to each equation and see which equation hold both points; or find the equation from the two given points and compare which of the listed equations matches.

Line for AB has slope of -2,
y-6=-2%28x-5%29-------using point-slope equation form formula;


After that, y-6=-2x%2B10
y=-2x%2B10%2B6
y=-2x%2B16---------now the equivalent equation in slope-intercept form.
-
Standard Form?
y%2B2x=16
2x%2By=16----------standard form for AB.


Make your choices.