Write the standard form of the equation of each line. 13) 0=-x-(3)/(5)y 14) 3-6x+y=0 15) -10-2y=6x 16) 0=y+1+(4)/(3)x

13) To write the equation in standard form, we want to have the x and y terms on the left side and the constant on the right side. We can rearrange the equation as follows:<br /><br />$0 = -x - \frac{3}{5}y$<br /><br />$-x - \frac{3}{5}y = 0$<br /><br />$-x - \frac{3}{5}y + x = 0 + x$<br /><br />$-\frac{3}{5}y = x$<br /><br />$\frac{3}{5}y = -x$<br /><br />$y = -\frac{5}{3}x$<br /><br />So, the standard form of the equation is $y = -\frac{5}{3}x$.<br /><br />14) To write the equation in standard form, we want to have the x and y terms on the left side and the constant on the right side. We can rearrange the equation as follows:<br /><br />$3 - 6x + y = 0$<br /><br />$-6x + y = -3$<br /><br />$-6x + y + 6x = -3 + 6x$<br /><br />$y = 6x - 3$<br /><br />So, the standard form of the equation is $y = 6x - 3$.<br /><br />15) To write the equation in standard form, we want to have the x and y terms on the left side and the constant on the right side. We can rearrange the equation as follows:<br /><br />$-10 - 2y = 6x$<br /><br />$-2y = 6x + 10$<br /><br />$y = -3x - 5$<br /><br />So, the standard form of the equation is $y = -3x - 5$.<br /><br />16) To write the equation in standard form, we want to have the x and y terms on the left side and the constant on the right side. We can rearrange the equation as follows:<br /><br />$0 = y + 1 + \frac{4}{3}x$<br /><br />$y + 1 + \frac{4}{3}x = 0$<br /><br />$y = -1 - \frac{4}{3}x$<br /><br />So, the standard form of the equation is $y = -\frac{4}{3}x - 1$.