Question

Rewrite the following equation in slope-intercept form,- 14x - 10y - 6 = 0

Answer 1

The slope intercept from is expresses as :

`\begin{gathered} y=m(x-a)+b \\ \text{where, m is the slope \& (a,b) are the points or coordinates of the line} \end{gathered}`

In the given expression :

-14x-10y-6=0

Simplify the equation and solve for y

`\begin{gathered} -14x-10y-6=0 \\ Divid\text{ the equation by (-2)} \\ (-14x)/((-2))-(10y)/((-2))-(6)/((-2))=(0)/((-2)) \\ 7x+5y+3=0 \\ \text{Subtract 7x+3 from both side} \\ 7x+5y+3-7x-3=0-7x-3 \\ 5y=-7x-3 \\ \text{Divide the equation by 5} \\ (5y)/(5)=(-7x)/(5)-(3)/(5) \\ y=-(7x)/(5)-(3)/(5) \\ \text{The above equation is the slope intercept form} \end{gathered}`

Answer : y = -7x/5-3/5