Answer:
y = 3x - 5
Step-by-step explanation:
A line has the equation y = mx + b, where m is the slope and b is the y-intercept. They've given us the slope so we can swap m with it, y = 3x + b.
They've given us a coordinate pair (x, y) that is found when plotted on a graph AND is evaluated to be true (as in the left side and right side do equal the same value) when you plug it in.
Let's focus on the more algebraic approach to finding the last part of the equation, b, since it's faster.
Plugging in (2,1) we get:
1 = 3(2) + b
1 = 6 + b
1 - 6 = b (subtract 6 both sides)
-5 = b
So, our equation is y = 3x - 5
Let me know if you have any questions!
