Question

Find the slope: m=

Find the y-intercept: b=

Equation: y=

Answer 1

y = -
`(5)/(4)` x + 5

Explanation:

the equation of a line in slope- intercept form is

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

calculate m using the slope formula

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

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

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

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

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