Question

What is the equation of the line between `(-11,4)` and `(7,3)`?

Answer 1

Equation is `y = -1/18x +61/18`

Slope `m= -1/18`

Explanation:

To write the equation of the line we need the following:

• Ordered pairs
• Slope `m= (y_2-y_1)/(x_2-x_1)`

Given `(-11, 4) and (7, 3)`

Slope `=> m= (3-4)/(7-(-11))`

`=> m= -1/18`

We can write equation of the line, using point slope formula
`y- y_1 = m(x-x_1)`

`y- 4= -1/18(x-(-11))`

`y-4 = -1/18 x + 11/18`

Solve for `y`

`y = -1/18 x +11/18 + 4/1`

`y= -1/18x + 4 11/18`

`y = -1/18x +61/18`