Question

put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6 ​

Answer 1

The general equation of a slope-intercept form is as below;

`y = mx + c`

m » slope / gradient

c » y - intercept

x » x - intercept

Since our equation is 5x + 2y = -6, make y the subject:

`5x + 2y = - 6`

subtract 5x from either sides:

`(5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6`

apply the division rule of equality:

`(2y)/(2) = ( - 5x)/(2) - (6)/(2) \\ \\ { \boxed{ \boxed{answer : \: y = - (5)/(2) x - 3}}}`

slope » -5/2

y - intetcept » -3