Answer:
y = 5/6x + 8/3
Step-by-step explanation:
Remember that the slope intercept formula is:
y = mx + b (m is the slope and b is the y-intercept)
We know that slope = 5/6 therefore m = 5/6
So far we have the equation: y =5/6x + b
Now we must find b
To do that, you must plug in the point the line goes through in the x and y of the equation. Point (-2, 1) go through the equation:
y = 5/6x + b
1 = 5/6(-2) + b
Now solve for b
First, you will multiply 5/6 by -2
1 = -5/3 + b
Add 5/3 to both sides
1 + 5/3 = -5/3 + 5/3 + b
8/3 = b
Now that we have b, we can now complete the equation.
y = 5/6x + 8/3
