Question

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

Answer 1

Answer:

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

Answer 2

Answer:  B. (9,3)

Step-by-step 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

$y=5(3)-42$

$y=-27$

$27\neq 9$

Choice B

$y=5(9)-42$

$y=3$  Correct!