Question

Find the equation of the line with slope m=2 that contains the point (8,19)

Answer 1

The standard form for the equation of a line is:

`y=mx+b`

In which m represents the slope of the line and b represents the y-intercept

Since the slope of the line is already given, we can use the point given to find the y-intercept.

`y=2x+b`

Using the point (8,19) as (x,y) we replace x and y in the equation

`19=2\cdot(8)+b`

Simplify both sides of the equation

`19=16+b`

solve the equation for b, when substracting 16 on both sides of the equation

`\begin{gathered} 19-16=16+b-16 \\ 3=b \end{gathered}`

the equation of the line is

`y=2x+3`