Question

If the slope of a line is 2 and its y-intercept is 5, what is the equation of the line?

Answer 1

`The\ slope-intercept\ form:y=mx+b\\\\m=2;\ b=5\\\\\boxed{y=2x+5}`

Answer 2

y=2x+5

Explanation:

A straight line can be defined as:

`y=m*x+c`

Where m is the slope of the line and c the y-intercept when x=0. Therefore:

`y=2*x+5`

We can prove the y-intercept by making x=0:

`y=2*0+5=5`