Question

Write a linear equation given the graph.

Answer 1

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:

• x - Independent variable.
• y - Dependent variable.
• m - Slope
• b - Intercept.

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