Answer: y=3x+b
Let’s rewrite the information we have
Model equation: y=mx+b
Slope: 3
Point: (3,11)
In the model equation, this is what the letters stand for— y=slope•variable+y-intercept. Since we already know the slope, let’s substitute this into the equation now.
y=3x+b
Now we need to find the y-intercept/b. We’ll do this by substituting the y and x value from the point into the equation and solving for b
y=3x+b
*substitute point*
11=3(3)+b
*multiply 3 and 3*
11=9+b
*subtract 9 on both sides
2=b
Now that we have b, let’s put this into the equation and finish the equation
y=3x+b
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