Answer: B. (9,3)
Step-by-step explanation:
To solve this problem, we start organizing the equation to the Slope intercept form:
[tex]y=5(x-9)+3[/tex]
[tex]y=5x-45+3[/tex]
[tex]y=5x-42[/tex]
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
[tex]y=5(3)-42[/tex]
[tex]y=-27[/tex]
[tex]27\neq 9[/tex]
Choice B
[tex]y=5(9)-42[/tex]
[tex]y=3[/tex] Correct!
