Question

Write the equation of a line that passes through the point ( -1, 5) and has a slope of -7

Answer 1

`y=-7x-2`

Explanation:

We can use the point-slope form:

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

Where m is the slope and (x₁, y₁) is a point.

Let (-1, 5) be (x₁, y₁) and our slope m is -7. By substitution:

`y-(5)=-7(x-(-1))`

Distribute:

`y-5=- 7 x - 7`

Adding 5 to both sides gives us our equation:

`y=-7x-2`