Question

Determine if the equation given in slope-intercept form represents the graph. If the equation is correct support your reasoning with why it is correct. if the equation is incorrect give the correct slipe-intercept form explaining how you determined it​​

Answer 1

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

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, 4 ) and (x₂, y₂ ) = (5, 8) ← 2 points on the line

m =
`(8-4)/(5-0)` =
`(4)/(5)`

the line crosses the y- axis at (0, 4 ) ⇒ c = 4

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