Question

What is the point-slope form of the line that passes through (4,6),(5,7)?

Answer 1

`y - 6 = x - 4`

Explanation:

Point - slope form of equation is `y - y_1 = m (x - x_1)`

Given `(x_1 = 4, y_1 = 6, x_2 = 5, y_2 = 7)`

We know two points. Now we have to find the slope “m”.

`m = (y_2 - y_1) / (x_2 - x_1)`

`m = (7-6) / (5-4) = 1`

Hence point - slope form of equation is `y - 6 = 1 * (x - 4)`

`y - 6 = x - 4` or `y - 7 = x - 5` both the equations are same.

graph{x + 2 [-10, 10, -5, 5]}