Question

Which equation represents a linear function that has a slope of Four-fifths and a y-intercept of –6?

Answer 1

y =
`(4)/(5)` x - 6

Explanation:

The equation of a line in slope- intercept form is

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

Here m =
`(4)/(5)` and c = - 6, thus

y =
`(4)/(5)` x - 6 ← equation of line

Answer 2

Explanation:

Equation of line in slope intercept form is given as:

`y = mx + c \\ where \: m = slope = (4)/(5) \\ c = y - intercept = - 6 \\ \\ \therefore \: y = (4)/(5) x + ( - 6) \\ \\ \therefore \: y = (4)/(5) x - 6 \\ \\ \therefore \: 5y =4x - 30 \\ \\ \huge \red{ \boxed{\therefore \:4x - 5y - 30 = 0 }}\\ is \: the \: required \: equation \: of \: line.`