Question

Please help me answer the question because I need to get 100%.

Answer 1

y=5/2x+5
rise/run
to go from (0,-2) to (0,5) you would need to go up by 5 then go to the right by 2. rise 5 times and run 2. 5/2x.

Answer 2

y =
`(5)/(2)` 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 the slope m using the slope formula

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

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

substitute these values into the formula for m

m =
`(5-0)/(0-(-2))` =
`(5)/(0+2)` =
`(5)/(2)`

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

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