# How to find y-intercept given (-2,1) and (5,6)?

##### 1 Answer

May 10, 2015

There is another way.

Standard form of the line: y = ax + b.

Find a and b.

Line passing at point (-2, 1) gives the equation:

1 = -2a + b -> b = 1 + 2a

Line passing at point (5, 6) gives:

6 = 5a + b --> 6 = 5a + 1 + 2a = 1 + 7a ->

b = 1 + 10/7 = 17/7

Line 's equation: y = 5/7x + 17/7

To find y-intercept, make x = 0: > y = 17/7