Question

There is a line that includes the point (4, 1) and has a slope of 1. What is its equation in

slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = x - 3

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 1 , then

y = x + c ← is the partial equation

To find c substitute (4, 1 ) into the partial equation

1 = 4 + c ⇒ c = 1 - 4 = - 3

y = x - 3 ← equation of line