Question

Complete the point-slope equation of the line through (1, 0) and (6, -3).

Use exact numbers.

y - (-3) = ____

Answer 1

see explanation

Explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (1, 0) and (x₂, y₂ ) = (6, - 3)

m =
`(-3-0)/(6-1)` =
`(-3)/(5)` = -
`(3)/(5 )`

Using this m and (a, b) = (6, - 3), then

y - (- 3) = -
`(3)/(5\\)`(x - 6), that is

y + 3 = -
`(3)/(5\\)`(x - 6) ← in point- slope form