Question

Find the equation of the line using exact numbers

Answer 1

y = -
`(1)/(3)` x + 5

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 =
`\frac{y_{2-y_(1) } }{x_{2-x_(1) } }`

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (3, 4) ← 2 points on the line

m =
`(4-5)/(3-0)` =
`(-1)/(3)` = -
`(1)/(3)`

the line crosses the y- axis at (0, 5 ) ⇒ c = 5

y = -
`(1)/(3)` x + 5 ← equation of line