# Find the equations of line joining points #(-2,3)# and #(1,4)#?

##### 3 Answers

The equation for line joining two points

#### Explanation:

Let the slope intercept form of equation be

here we do not know the slope

What we know is that this passes through the two coordinate pairs, say

As such we have three equations

**......(1)**

**......(2)** and

**......(3)**

Now using these let us eliminate

subtracting (2) from (1), we get **......(4)**

and subtracting (2) from (3), we get **......(5)**

Dividing (4) by (5)

As the two points are

or

or

or

or

For any point on the line, the coordinate pair in slope-intercept form is

#### Explanation:

For slope m and intercept c, the equation is y = m x +c.

The slope intercept form for coordinates is (x, m x +c ).

The slope of the line through the given points is

Also, from (1, 4). 4 = i/3(1) + c. So, c = 11/3.

So, the answer is

The equation of the line is:

#### Explanation:

If you are given the coordinates of 2 points on a line, substituting them into the formula below allows you to find the equation immediately. In the process you also calculate the slope.