Question

Which of these points lies on the line described by the equation below?

y-3 = 5(x-9)
O A. (3,9)
O B. (9,3)
O C. (-9, -3)
O D. (-3, -9)

Answer 1

The answer should be: B. (9,3)

Answer 2

Answer: B. (9,3)

Explanation:

To solve this problem, we start organizing the equation to the Slope intercept form:

`y=5(x-9)+3`

`y=5x-45+3`

`y=5x-42`

Where 5 is the positive slope of the line, and -42 is the y-axis intercept. knowing the y-intercept, we may infer that choices C or D are incorrect, because values must be lower than -42. Thus, we replace the x value of choices A and B to verify which one applies:

Choice A

`y=5(3)-42`

`y=-27`

`27\\eq 9`

Choice B

`y=5(9)-42`

`y=3` Correct!