Question

Aline goes through the points (0.25) and (5,0). Write the equation of this line in point

slope form using one of these points.

Answer 1

`y - 0 = -5(x - 5)`

Explanation:

Point slope form is
`y - y_(1) = m(x - x_(1))`

Find "m", the slope, using the formula for slope. Substitute the coordinates of the two points.

Point 1 (0, 25) x₁ = 0; y₁ = 25

Point 2 (5, 0) x₂ = 5; y₂ = 0

`m = (y_(2)-y_(1))/(x_(2) - x_(1))`

`m = (0-25)/(5 - 0)`

`m = (-25)/(5)`

`m = -5`

Substitute the slope and any point into the point slope formula. I will use (5, 0)

`y - 0 = -5(x - 5)`