Question

Enter an equation in point-slope form for the line.Slope is 2 and (-9,-1) is on the line.The equation of the line in point slope form is:

Answer 1

The equation in point slope form is

y + 1 = 2 (x + 9)

Simplifying further, we have

y + 1 = 2x + 18

y = 2x + 18 - 1

y = 2x + 17

Step-by-step explanation

The general form of the equation in point-slope form is

y - y₁ = m (x - x₁)

where

y = y-coordinate of a point on the line.

y₁ = This refers to the y-coordinate of a given point on the line

m = slope of the line.

x = x-coordinate of the point on the line whose y-coordinate is y.

x₁ = x-coordinate of the given point on the line

We are given that the slope = m = 2

The point is (x₁, y₁) = (-9, -1)

x₁ = -9

y₁ = -1

y - y₁ = m (x - x₁)

y - (-1) = 2 [x - (-9)]

y + 1 = 2 (x + 9)

Simplifying further, we have

y + 1 = 2x + 18

y = 2x + 18 - 1

y = 2x + 17

Hope this Helps!!!