Question

What is the equation of the given line in the point -slope form

Answer 1

E

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, 4) ← 2 points on the line

m =
`(4-1)/(3-0)` =
`(3)/(3)` = 1

using (a, b ) = (3, 4 ) , then

y - 4 = 1 (x - 3) → E