Question

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

Answer 1

Answer:

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:

$\frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}$

slope » -5/2

y - intetcept » -3