Answer :
ANSWER
5x + 2y = -70
EXPLANATION
The standard form of the equation of a line is:
[tex]ax+by=c[/tex]Where a, b and c are integers and a is positive.
For this problem first we have to put x and y on the same side of the equation, by adding 2/5y on both sides:
[tex]\begin{gathered} x+\frac{2}{5}y=-\frac{2}{5}y+\frac{2}{5}x-14 \\ x+\frac{2}{5}y=-14 \end{gathered}[/tex]The coefficient of x is positive, but the coefficient of y is not an integer. To make it an integer we have to multiply the whole equation by the denominator:
[tex]5(x+\frac{2}{5}y=-14)[/tex]And apply the distributive property:
[tex]\begin{gathered} 5x+5\cdot\frac{2}{5}y=-14\cdot5 \\ 5x+2y=-70 \end{gathered}[/tex]