(0,4) (1,8)
Using the graph, derive the equation of the line in slope-intercept form.
(1 point)
The slope of the line is equal to the change in y over the change in x, so we can calculate the slope by using the points (0,4) and (1,8):
Slope = (8-4)/(1-0) = 4/1 = 4
Now that we have the slope, we can use the slope-intercept form of the equation of a line, which is y = mx + b, where m is the slope and b is the y-intercept. We can use the point (0,4) to find the y-intercept:
4 = 4(0) + b
4 = b
So, the y-intercept is 4. Therefore, the equation of the line in slope-intercept form is:
y = 4x + 4