Aline with a slope of three is written in the form y=mx+b what is the value of be if the line passes through the point (3,11)

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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