Question

find the equation of the line with slope 6 and containing the point (3,1). Write the equation in function notation

Answer 1

f(x) = 6x - 17

Step-by-step explanation

The equation of a line with slope m and y-intercept b is:

`f(x)=mx+b`

We know the slope of this line, m = 6, so we have this equation:

`f(x)=6x+b`

To find the y-intercept we have to replace f and x with the given point: f(3) = 1:

`\begin{gathered} 1=6\cdot3+b \\ 1=18+b \\ b=1-18 \\ b=-17 \end{gathered}`

The equation is:

`f(x)=6x-17`