Question

Write an equation in point-slope form of the line having the given slope that contains the given point. then graph the line

(dont think u can graph so its okay)

Answer 1

The line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

`y+2=4(x-4)`

Please check the attached graph.

Explanation:

Given

• The slope m = -2

• The point (4, -2)

Point slope form:

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

where

• m is the slope of the line

• (x₁, y₁) is the point

In our case:

m = 4

The point (x₁, y₁) = (4, -2)

substituting the values m = 4 and the point (x₁, y₁) = (4, -2) in the point-slope form of the line equation

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

`y - (-2) = 4(x-4)`

`y+2=4(x-4)`

Thus, the line of the equation in the point-slope form of the line passing through the point (4, -2) and having slope 2 will be:

`y+2=4(x-4)`

Please check the attached graph.