Equations written in slope-intercept form follow a specific format.
y=mx+ b
In this form, m represents the slope of the line and b represents the y-intercept.
Let's highlight the slope m and y-intercept b in the given equation.
y=-7.5x+ 11
The slope is -7.5. The y-intercept is 11, so the graph crosses the y-axis at the point (0, 11).
Graphing the Equation
A slope of -7.5 means that for every 1 unit we move in the positive horizontal direction, we move 7.5 units in the negative vertical direction.
m=-7.5/1 ⇔ rise/run=-7.5/1
To graph the equation, plot the y-intercept and then use the slope to find another point on the line.
