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)/(5)` x

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, 0) and (x₂, y₂ ) = (50, - 10) ← 2 points on the line

m =
`(-10-0)/(50-0)` =
`(-10)/(50)` = -
`(1)/(5)`

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

y = -
`(1)/(5)` x + 0 , that is

y = -
`(1)/(5)` x ← equation of line

Answer 2

The answer:
y = -1/5x

The slope has a gradient of -1/5x, as for every 1 it goes up, it goes across 5.