There are no answer choices, so I will just list a few. But first, we need to create the equation.
Plugging in (5,7) into the equation y=mx+b, we can solve for b since all of the other variables are known, with m=3 as the slope.
So, 7=3*5+b
7=15+b
b = -8
y=3x-8 is your equation.
So, you can plug in any value of x you get a certain value of y.
(1,-5), (2,-2), (3,1), (4,4), (5,7), (6,10), (7,13)
Answer:
(6, 10)
Step-by-step explanation:
slope = [tex]\frac{change in y}{change in x}[/tex] = [tex]\frac{3}{1}[/tex]
to find another point on the line add 3 to the y-coordinate and add 1 to the x-coordinate
(5, 7) → (5 + 1, 7 + 3) → (6, 10) ← other point on line
continue to do this for other points
(6, 10) → (6 + 1, 10 + 3) → (7, 13)
