Question

Write the equation in point-slope form of the line that passes through the points (4, 7) and (5, 1). Use the first point to write the equation.

Answer 1

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

Explanation:

So first you need to find the slope of the line. You do this by doing
`m=(y^(2)-y^(1))/(x^(1)-x^(2))`. You would plug the points from the line into the equation to get
`m=(1-7)/(5-4)`, and when you simplify you would get
`m=(-6)/(1)` or
`m=-6`. This means your slope is -6.

Now, point slope form is written as
`y-y^(1) = m(x-x^(1) )` so to write the equation you would plug in the slope and the first point to get
`y-7=-6(x-1)`

Answer 2

Explanation: