Question

Find the slope and the y-intercept of the equation 4x + 5y = -9.

A.


slope = `4/5` and y-intercept = `-(9)/(5)`

B.


slope = `-(4)/(5)` and y-intercept = `(9)/(5)`

C.


slope = `-(4)/(5)` and y-intercept = `-(9)/(5)`

D.


slope = `(4)/(5)` and y-intercept = `9/5`

Answer 1

`\large\boxed{C.\ slope=-(4)/(5)\ and\ y-intercept=-(9)/(5)}`

Explanation:

`\text{The slope-intercept form of equation of a line:}\\\\y=mx+b\\\\m-slope\\b-\ y-intercept\\\\\text{We have the equation of a line in a standard form.}\\\text{ Convert it to the slope-intercept form:}\\\\4x+5y=-9\qquad\text{subtract 4x from both sides}\\\\5y=-4x-9\qquad\text{divide both sides by 5}\\\\y=-(4)/(5)x-(9)/(5)`