Step-by-step explanation:
Step 1: Find the slope. Remember that m is the slope and that b is the y-intercept in the equation y=mx+b. We will also need to use the slope formula.
1 = x1
9 = y1
0 = x2
2 = y2
Slope = y2-y1 = 2-9 = -7 = 7
x2-x1 0-1 -1
Step 2: Now that we know that the slope is 7, we must substitute it into the y=mx+b equation.
y = 7x+b
By the way, you can substitute either y1 or y2 into "y" and either x1 or x2 into "x". You will get the exact same answer. Here is what I mean:
9 = 7(1) + b 2 = 7(0) + b
9 = 7 + b 2 = 0 + b
-7 -7 -0 -0
2 = b 2 = b (See?)
Now that we know what b is,
we can put that in our equation.
Final answer:
y = 7x+2
Hope this helps!
