Using the graph, derive the equation of the line in slope-intercept form.

Question

(0,1)
(1,4)

Answer 1

First, calculate the slope using the points (0,1) and (1,4):

slope = (4 - 1)/(1 - 0) = 3/1 = 3

Now, use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.

Using point (0,1):
1 = 3(0) + b
1 = b

So, the equation of the line in slope-intercept form is:
y = 3x + 1