Question

What is the slope intercept form of the line with a slope of `-7/2` that passes through `(1,6)`?

Answer 1

The equation of the line in slope-intercept form is

`y = -7/2 x + 9 1/2`

Explanation:

The slope intercept form of a line is `y=mx+b`

For this problem we are given the slope as `-7/2` and a point on the line of `(1,6)`

`m=-7/2`
`x=1`
`y=6`

We plug in the values and then solve for the `b` term which is the
y-intercept.

`6 =-7/2(1) +b`

`6 =-3 1/2 +b`

Now isolate the `b` term.

`6 +3 1/2 =cancel(-3 1/2) cancel(+3 1/2)+b`

`b= 9 1/2`

The equation of the line in slope-intercept form becomes

`y = -7/2 x + 9 1/2`