Question

Graph the line that passes through the given point and has the given slope m.

(4,8) ;m= -(1)/(4)

Answer 1

The line equation is:

• 
  `y=-(1)/(4)x+9`

Explanation:

Given

• The point = (4, 8)
• m = -1/4

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

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

where

• m = slope

• (x₁, y₁) = point

substituting the values m = -1/4 and the point (4, 8)

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

`y-8=(-1)/(4)\left(x-4\right)`

Add 8 to both sides

`y-8+8=(-1)/(4)\left(x-4\right)+8`

`y=-(1)/(4)x+9`

Thus, the line equation is:

• 
  `y=-(1)/(4)x+9`