Question

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

Answer 1

Explanation:

Its a linear function it goes throw the y-x Axis and is in a striaght line.

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 m using the slope formula

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

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

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

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

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