Answer:
![y = -1x + 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/8ap9n23rspiisammwiw9vn5ycodzel7kpr.png)
Explanation:
Hello!
The equation of a line is written in slope-intercept form.
Slope - Intercept Form:
![y = mx + b](https://img.qammunity.org/2022/formulas/mathematics/high-school/hi7nib56czgdtaz3ud2tuzvr49eqo8cnyj.png)
Slope
The slope of the line is the rate of change, or how much the y-values change as x-values change.
Slope is calculated by the Rise of the graph divided by the Run of the graph. Rise is how much the graph goes up or down between 2 points, while Run is how much the graph goes left or right between 2 points.
Points: (0,4) and (4,0)
Calculate:
The slope is -1.
Y-intercept
The y-intercept is where the graph intersects the y-axis (x = 0).
The graph intersects it at (0,4), so the y-intercept is 4.
Equation
We can plug in the values for slope and y-intercept to find the equation.
Equation:
![y = -1x + 4](https://img.qammunity.org/2022/formulas/mathematics/high-school/8ap9n23rspiisammwiw9vn5ycodzel7kpr.png)