Equations written in slope-intercept form follow a specific format.
y= mx+ b
In this form, m is the slope and b is the y-intercept. We need to identify these values using the graph.
y-intercept
The y-intercept is the y-value where the line crosses the y-axis.
We can see that the function intercepts the y-axis at (0, 2). This means that the value of b is 2.
y= mx+ 2
Slope
To find the slope, we will use the Slope Formula.
m = y_2-y_1/x_2-x_1
Observing the given graph, we can see that the line passes through the points (0,2) and (6,10). Let's substitute these points into the Slope Formula to find m.
