Question

On a graph there are two points (0,3) and (8,0) what is the proper equation​

Answer 1

The line equation of the line is:

• 
  `y=-(3)/(8)x+3`

Explanation:

Given the two points

• (0,3)

• (8,0)

Finding the slope between (0,3) and (8,0)

`\mathrm{Slope}=(y_2-y_1)/(x_2-x_1)`

`\left(x_1,\:y_1\right)=\left(0,\:3\right),\:\left(x_2,\:y_2\right)=\left(8,\:0\right)`

`m=(0-3)/(8-0)`

`m=-(3)/(8)`

Therefore, the slope of the line: m = -3/8

Using the point-slope form of the line equation

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

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = -3/8 and the point (0,3)

`y-3=-(3)/(8)\left(x-0\right)`

`y-3=-(3)/(8)x`

Add 3 to both sides

`y-3+3=-(3)/(8)x+3`

Simplify

`y=-(3)/(8)x+3`

Therefore, the line equation of the line is:

• 
  `y=-(3)/(8)x+3`