Question

Please look at this and answer the question i have one attempt

What is the equation of this graphed line?



Enter your answer in slope-intercept form in the box.

Answer 1

y = -
`(9)/(8)` x + 7

Explanation:

the equation of a line in slope- intercept form is

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

calculate the slope m using the slope formula

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

let (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (8, - 2) ← 2points on the line

substitute these values into the formula for m

m =
`(-2-7)/(8-0)` =
`(-9)/(8)` = -
`(9)/(8)`

the line crosses the y- axis at (0, 7 ), then c = 7

y = -
`(9)/(8)` x + 7 ← equation of line