Use the graph to derive the equation of the line in slope-intercept form.

Question

(A point)

(0,-1) (1,3)

Answer 1

First, calculate the slope of the line using the two points given:

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

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

Now we can plug in the slope and one of the points given to solve for the y-intercept:

Using point (0, -1):
-1 = 4(0) + b
-1 = b

So the y-intercept is -1.

Putting it all together, the equation of the line in slope-intercept form is:

y = 4x - 1