Question

(4,7) ; m=-2 in point slope form & slope intercept please

Answer 1

`\huge\boxed{y - 7 = -2(x - 4)}`

`\huge\boxed{y = -2x + 15}`

Point-Slope Form

Point-slope form is
`y - y_1 = m(x - x_1)`, where
`(x_1, y_1)` is a point on the line and
`m` is the slope of the line.

Substitute in the values.
`\boxed{y - 7 = -2(x - 4)}`

Slope-Intercept Form

Slope-intercept form is
`y=mx+b`, where
`m` is the slope of the line and
`b` is the y-intercept of the line.

We need to convert the equation into slope-intercept form.

Distribute the
`-2` to the
`(x-4)`.
`y - 7 = -2x + 8`

Add
`7` on both sides.
`\boxed{y = -2x + 15}`