Question

What is the slope intercept form of the line with a slope of `-2` that passes through `(6,4)`?

Answer 1

`y=16-2x`

Explanation:

Slope `m=-2`
co-ordinates `(6, 4)`

Slope Intercept of the equation

`y-y_1=m(x-x_1)`
`y-4=-2(x-6)`
`y-4=-2x+12`
`y=-2x+12+4`
`y=-2x+16`
`y=16-2x`

Answer 2

The slope intercept form of the line is `y=mx+b` where `m` is the slope and `b` is y-intercept.
The equation of the line is `y=-2x+16`
One of the approaches to get the solution is given below.

Explanation:

Slope-intercept form of the line `y=mx+b`
Given slope `m=-2` and a point `(6,4)` which lies on the line.

Plug in the values for `m`, `x` and `y` and solve for `b`

`4=-2(6)+b`
`4=-12+b`
`4+12=b`
`16=b`

The equation of the line is `y=-2x+16`