Question

Find the Quetion of the line that passes through the points (1,6) and (5,2)

Answer 1

`y=-x+7`

Explanation:

Equation of straight line is given as

`y-y_1=m(x-x_1)`

where slope m is calculated as

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

Here

`(x_1, y_1)=(1, 6) \ \ and \ \ (x_21, y_2) = (5, 2)`

`m = (2 - 6)/(5 - 1)\\m=(- 4)/(4) \\m=-1`

Equation of line that passes through the points (1,6) and (5,2)

`y-6=-1(x-1)\\y=-x+7`