Question

Write the equation of the line in point-slope form. ASAP PLS !!!!

Answer 1

y - 1 =
`(2)/(3)`(x - 3)

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

with (x₁, y₁ ) = (0, - 1) and (x₂, y₂ ) = (3, 1) ← 2 points on the line

m =
`(1+1)/(3-0)` =
`(2)/(3)`

and using (a, b) = (3, 1 ) , then

y - 1 =
`(2)/(3)` (x - 3)