Question

Find the equation of the line with a slope of 1/5 that passes through the point (10,9).

Answer 1

Answer:

The equation of the line with a slope of 1/5 that passes through the point (10,9) is:

• $y=\frac{1}{5}x+7$

Step-by-step explanation:

Given

Slope = m = 1/5

Point (10, 9)

To Determine

An equation of the line with a slope of 1/5 that passes through the point (10,9).

We know that the point-slope form of the line equation is

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

where

• m is the slope of the line

• (x₁, y₁) is the point

substituting the values m = 1/5 and the point (10, 9) in the equation

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

$y-9=\frac{1}{5}\left(x-10\right)$

Add 9 to both sides

$y-9+9=\frac{1}{5}\left(x-10\right)+9$

$y=\frac{1}{5}x-2+9$

$y=\frac{1}{5}x+7$

Therefore, the equation of the line with a slope of 1/5 that passes through the point (10,9) is:

• $y=\frac{1}{5}x+7$