Question

What is the equation of the line in slope intercept form that goes through the point (7, 2) and has a slope of 4?

Answer 1

`y=4x-26`

Explanation:

The slope-intercept form of a line is:

`y=mx+b`

where:

• `m` is the slope of the line

• `b` is the y-intercept

We are given that `m=4` and the line passes through `(7,2)`.

`:.2=4*7+b`

`2=28+b`

`b=-26`

Therefore the equation of the line is:

`y=4x-26`

graph{y=4x-26 [-1.254, 11.23, -2.92, 3.323]}

Answer 2

`y=4x-26`

Explanation:

The equation of the line is `y=mx+b`, and it satisfies `m=4` and `(x,y)=(7,2).` We plug these in to find `b`:

`y=mx+b`
`2=4(7) + b`
`2=28+b`

`–26=b`

Thus, our slope-intercept equation for this line is

`y=4x-26`