Question

passes through A(-3, 0) and B(-6, 5). What is the equation of the line that passes through the origin and is parallel to ?
5x − 3y = 0
-x + 3y = 0
-5x − 3y = 0
3x + 5y = 0
-3x + 5y = 0

Answer 1

Find the slope:

slope = (y2 - y1) / (x2 - x1)

slope = (5 - 0) / ( -6 + 3)

slope = 5/-3 = -5/3

Find the y-intercept:

Since it passes through the origin, the y-intercept is (0,0)

Form the equation:

y = mx + c

y = -5/3 x + 0

y = -5/3 x

Answer: The equation is y = -5/3 x