# A line with x-intercept -4 passes through (2,6) and (k,10). How do you find k?

##### 2 Answers

Here are two approaches:

**Method 1**

Given that

**Method 2**

As we work through method 1, we notice that the slope of the line is

That tells us that increases in

Standard equation of the line : y = ax + b. First find a and b.

x-intercept -4 gives -> y = -4a + b = 0 -> b = 4a (1)

Line passing at point (2, 6):

6 = 2a + b (2) -> 6 = 2a + 4a = 6a ->

Line passing at point (k, 10)

10 = ka + b (3) -> 10 = k + 4 ->