Question

Put the following equation of a line into slope-intercept form, simplifying all

fractions.
6x 10y=-40

Answer 1

`\mbox{\large y = -(3)/(5)x - 4}`

Explanation:

The given equation is

`\mbox{\large 6x + 10y = - 40}`

The slope-intercept form of the equation of a line is

`y = mx +b`

where
m = slope

b = y-intercept

Subtract 4x from both sides of
`\mbox{\large 6x + 10y = - 40}`

`6x - 6x + 10y = - 6x-40\\\\\rightarrow \quad 10y = -6x - 40\\\\\text{Divide both sides by 10}\\\rightarrow \quad (10y)/(y) = -(6)/(10)x - (40)/(10)\\\\y = -(6)/(10)x - 4\\\\(6)/(10) = (3)/(5)\\\\\text{Equation of the line in slope-intercept form is: }\\\\y = -(3)/(5)x - 4`