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

Question

asked Nov 28, 2022 204k views

1 Answer

Ryan Tomlinson · Answer 1 · 2022-12-05T02:08:59+0000

Answer:

The line equation of the line is:

Explanation:

Given the two points

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: