Question

A given line has the equation 3x - 5y= 20 . Which of the following equations represents the line perpendicular to the given line and passes through the point (-6, 4)?

A.) 5x + 3y = 18
B.) y = -5/3x + 10
C.) y = -5/3x - 6
D.) 5x - 3y = -18
E.) y = -3/5x + 0.4

Answer 1

C

Explanation:

the slope of a line is anyways the factor of x.

the slope of a perpendicular line is just the upside-down fraction of the original line slope, and its sign is flipped.

3x - 5y = 20

5y = 3x - 20

y = (3/5 × x) - 4

3/5 turns into -5/3

and the point coordinates must satisfy the line equation :

4 = (-5/3 × -6) - 6

4 = 30/3 - 6 = 10 - 6 = 4

correct.

so, C is the correct solution.