Question

Find an equation in point-slope form for the line having the slope m= -5 and containing the point (7,2).

The equation in point-slope form is

Answer 1

`y-2=-5(x-7)`

Explanation:

Pre-Solving

We are given that a line has a slope (m) of -5 and passes through (7,2). We want to write the equation of that line in point-slope form.

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

Solving

Substitute -5 as m.

`y-y_1=-5(x-x_1)`

Substitute 7 for
`x_1` and 2 for
`y_1`.

We get:

`y-2=-5(x-7)`

Answer 2

y - 2 = - 5(x - 7)

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = - 5 and (a, b) = (7, 2) , thus

y - 2 = - 5(x - 7) ← equation in point- slope form