Question

Find the equation of the line that has a slope of 2

and passes through the point (5, -8). Write the
equation in point-slope form.

Answer 1

The equation in the point-slope form will be:

`y-(-8) = 2 (x-5)`

Explanation:

The point-slope form of an equation is written as:

`y-y_1=m\left(x-x_1\right)`

where m is the slope, and (x₁, y₁) is a point on the line.

Now, we will substitute the values of m and (x1, y1) in the given equation. Here,

m=2

and

(x1, y1) = (5, -8)

x1 = 5

y1 = -8

`y-y_1=m\left(x-x_1\right)`

`y-(-8) = 2 (x-5)`

Therefore, the equation in the point-slope form will be:

`y-(-8) = 2 (x-5)`