# How do you find the y-intercept given (1,2) (3,-4)?

##### 2 Answers

#### Answer:

Find y-intercept of line (1, 2) (3, -4)

Ans: y = 5

#### Explanation:

Equation of the line : y = ax + b where b is the x-intercept.

Write that this line passes at point (1, 2):

2 = a + b --> b = 2 - a.

Write that this line passes at point (3 - 4):

-4 = 3a + b = 3a + 2 - a --> 2a = - 6 -->

To find y-intercept, make x = 0 --> y = b = 5.

#### Answer:

Here is another way to arrive at the correct answer. The

#### Explanation:

If you think of the answer as our destiniation, then, like in the physical world of travel, there are often many routes you might take to get to the same destination.

Given the points:

The slope is

So one equation for the line is:

If we solve for

The

**Alternative Method**

When we get