Question

How do you write an equation of a line with slope of 2 and passes through (-5, 1)?

Answer 1

`y=2x+11`

Explanation:

We can write this equation using the slope-intercept form, shown below.
`y=mx+b`
Here, m is the slope and b is the y-intercept.

First, we can input the value of the slope given in the problem.
`y=2x+b`

To determine the b value, we must input the given x and y values.
`1=2(-5)+b`
`1=-10+b`
We then simply add 10 to both sides.
`11=b`

Next, we can plug this b value into the original equation. This is the equation of the line.
`y=2x+11`