Question

Find the equation of the line with the given slope that passes through the given point. Write the

equation of the line in point slope form:
m = -7 and (1, -1)

Answer 1

y + 1 = - 7(x - 1)

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 = - 7 and (a, b) = (1, - 1), thus

y - (- 1) = - 7(x - 1), that is

y + 1 = - 7(x - 1)

Answer 2

`y+1=-7(x-1)`

Explanation:

Pre-Solving

We are given that a line has a slope (m) of -7 and contains the point (1,-1).

We want to write the equation of this 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

As we are already given both the slope and the point, we can plug their values into the equation.

Starting with the slope, replace m with -7.

`y-y_1=-7(x-x_1)`

Now, substitute 1 as
`x_1` and -1 as
`y_1`.

We get:

`y--1=-7(x-1)`

This can be simplified to become:

`y+1=-7(x-1)`