Question

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

Answer 1

Answer:

The line equation of the line is:

• $y=-\frac{3}{8}x+3$          

Step-by-step explanation:

Given the two points

• (0,3)

• (8,0)

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

$\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

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

$m=\frac{0-3}{8-0}$

$m=-\frac{3}{8}$

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)

$y-3=-\frac{3}{8}\left(x-0\right)$

$y-3=-\frac{3}{8}x$

Add 3 to both sides

$y-3+3=-\frac{3}{8}x+3$

Simplify

$y=-\frac{3}{8}x+3$

Therefore, the line equation of the line is:

• $y=-\frac{3}{8}x+3$