Write an equation of the line passing through the given points. Write the equation in standard form Ax + By = C.
- (2,-4) and (0,5)
A) -9x+2y=10
B) -6x+5y=-25
C) 9x+2y=10
D) 6x-5y=-25

Question

Write an equation of the line passing through the given points. Write the equation in standard form Ax + By = C.
- (2,-4)  and  (0,5) 
A)  -9x+2y=10 
B)  -6x+5y=-25 
C)  9x+2y=10 
D)  6x-5y=-25

Quizplus · Accepted Answer

The slope of the line is (5 - (-4)) / (0 - 2) = 9 / -2 = -9/2. Using point-slope form with point (0,5), y - 5 = -9/2(x - 0), which simplifies to y = -9/2x + 5. Converting to standard form: 9x + 2y = 10.

Write an Equation of the Line Passing Through the Given