Question

A line has a y-intercept of -6 and a slope of 3/5 . Which of the following points is located on the line?

A. (-3, -1)
B. (-5, -3)
C. (5, -3)
D. (3, -1)

Answer 1

A line has a y-intercept of -6 and a slope of 3/5

so equation
y = 3/5 x - 6

if x = 5, y = 3/5 (5) - 6 = 3 - 6 = - 3

Answer:

C. (5, -3)

Answer 2

To solve this problem you must apply the proccedure shown below:
The equation of the line has the following form:
y=mx+b
where m is the slope and b is the y-intercept
Therefore, you have:
y=(3x/5)-6
If x=5
y=(3(3)/5)-6
y=-3
Therefore, the answer is the option C, which is: C. (5,-3)