Question

Find the equation of a line in slope-intercept form that

passes through the points (2,13) and (1,8)

Answer 1

y = 5x + 3

Explanation:

Slope-intercept form is y=mx+b (where m is the slope and b is the y-intercept)

First find the slope with (13-8)/(2-1) = 5

Plug the slope and one of the coordinates into the equation to find the y-intercept now:

13 = 5 * 2 + b

13 = 10 + b

b = 3 (y-intercept is 3)

Now, write final equation: y = 5x + 3