(0,5) and (1,9) points how do I find the y intercept?

Question

topoints on a graph these are the points and the only information I have

Answer 1

Slope-intercept form line equation is y = mx + b, where m is slope and b is y - intercept.

Let the points are (x1, y1) = (0, 5) and (x2, y2) = (1, 9).

Slope m = [(y2 - y1)/(x2 -x1)]

m = [(9 - 5)/(1 - 0)]

m  = [4/1] = 4

Now, the line equation is y = 4x + b.

Find the y-intercept by substituting any point in the slope intercept form say (0, 5)

5 = 4 * 0 + b

5 = b

The y - intercept is 5.