Write a linear equation given the graph.

Question

asked Feb 6, 2024 114k views

1 Answer

PyroAVR · Answer 1 · 2024-02-12T14:35:37+0000

The equation of the line is equal to y = - x + 3.

How to determine the linear equation associated with the graph

In this problem we need to determine the equation of a line seen on Cartesian plane, whose definition is shown below:

y = m · x + b

Where:

Slope can be found by means of secant line formula:

$m = (\Delta y)/(\Delta x)$

First, determine the slope of the line:

m = (- 1 - 3)/(4 - 0)

m = - 1

Second, find the intercept of the line:

b = y - m · x

b = 3 - (- 1) · 0

b = 3

Third, write the equation of the line:

y = - x + 3