# How do you write an equation of a line passing through (2,3) with x-intercept 4?

##### 1 Answer

The x intercept is (4, 0), which is just another point on the line.

#### Explanation:

We can find the point slope form of the line but first we must find the slope of the line.

The formula for slope is m =

m =

Let point 1 be (2, 3) and point 2 (4,0).

m =

m =

Now that we know the slope we can use point slope form to find the equation of our line.

We'll use the point (4, 0) for (

y - 0 =

y =

Your equation is y =

**Practice Exercises:**

- Find the equations of the following lines:

a). Has a y intercept of -3 and a slope of

b). Passes through (-3,6) and (-1,7)

c) Has an x intercept of 2 and a y intercept of -9.

Good luck!