Find the equation of the line that contains the two given points.
A) 3 y + 7 x = -26
B) 7 x - 3 y = -26
C) 3 y - 7 x = -26
D) 3 y - 7 x = 44
E) 3 y + 7 x = 44

Question

Find the equation of the line that contains the two given points. 
A) 3 y + 7 x = -26 
B) 7 x - 3 y = -26 
C) 3 y - 7 x = -26 
D) 3 y - 7 x = 44 
E) 3 y + 7 x = 44

Quizplus · Accepted Answer

We can use the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is one of the given points.

First, we find the slope:

m = (y2 - y1)/(x2 - x1) = (-5 - 3)/(7 - (-3)) = -8/10 = -4/5

Now, we can use either of the given points, say (7, -5), to find the equation:

y - (-5) = (-4/5)(x - 7)

Simplifying this equation will give us:

3y - 7x = -26

Therefore, the correct answer is C.

Find the Equation of the Line That Contains the Two