Answer to Question #275970 in Analytic Geometry for buttt

Question

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

Answer 1

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 $y = m x + c$.

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

It follows that $y=1+2(x-2)=1+2x-4=2x-3.$

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