Question #275970


Find the equation of a line that passes through the point (2,1) and has a gradient of 2.

Leave your answer in the form y

=

m

x

+

c



1
Expert's answer
2021-12-06T17:10:11-0500

Let us find the equation of a line that passes through the point (2,1) and has a gradient of 2.

Leave our answer in the form y=mx+cy = m x + c.

Let us use the formula y=y0+m(xx0).y=y_0+m(x-x_0). In our case, x0=2,y0=1,m=2.x_0=2,y_0=1,m=2.

It follows that y=1+2(x2)=1+2x4=2x3.y=1+2(x-2)=1+2x-4=2x-3.

therefore, the equation of the line is y=2x3.y=2x-3.


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