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What is the equation of the line that passes through the point (4,1) and has a slope of 4?

User Bjorninn
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1 Answer

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Recall that the point-slope form of a line is of the form y=mx+b. We are told that the point (4,1) is on our line and that the slope is 4. This means that m=4. So far, we have the equation


y=4x+b

So it only suffices to find the value of b.

Since (4,1) is on this line, it should happen that if we replace x by 4, it must happen that y is 1.

Then, we have the following


1=4\cdot4+b\text{ = 16+b}

So, if we subtract 15 on both sides, we get


b=1-16=-15

Then the equation of the line is


y=4\cdot x-15

User Samuel Tian
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