Answer:
Explanation:
Hello!
The equation of a line is written in slope-intercept form.
Slope - Intercept Form:
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: