Question

What is the y intercept for a line with point (7,9) slope 1/2?

Answer 1

`b=5.5`

Explanation:

We can easily find the y-intercept by finding the equation of the line in the slope-intercept form `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

We are given the slope `1/2`, which we can substitute to `m`.
`y=mx+b`
`y=1/2x+b`

Now to solve for `b` we will make use of the point (7,9). We will simply substitute them into `x` and `y`.
`9=1/2(7)+b`
`9=3.5+b`
`9-3.5=b`
`color(red)(b=5.5)`