Question

What is the equation of the line in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y =
`(1)/(6)` x + 9

Explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

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

with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (6, 10) ← 2 points on the line

m =
`(10-9)/(6-0)` =
`(1)/(6)`

the line crosses the y- axis at (0, 9 ) ⇒ c = 9

y =
`(1)/(6)` x + 9 ← equation of line