Question

What is the slope of 1.)13x-11y=-12 2.)9x-7y=-7

Answer 1

$the \ slope \ intercept \ form \ is : \\ \\ y= mx +b \\ \\1)\\ \\ 13x-11y=-12 \ \ -13x\\ \\-11y=-13x -12 \ \ /:(-11)\\ \\y=\frac{13}{11}x+\frac{12}{11} \\ \\ m=\frac{13}{11}$


$2.)\\ \\9x-7y=-7 \ \ -9x \\ \\ -7y=-9x-7 \ \ /: (-7) \\ \\ y= \frac{9}{7} +1 \\ \\ m=\frac{9}{7}$

Answer 2

$Ax+By=C\\\\slope:m=-\frac{A}{B}\\\\\\1)\ 13x-11y=-12\\\\A=13;\ B=-11\\\\m=-\frac{13}{-11}=\frac{13}{11}\\\\\\2)\ 9x-7y=-7\\\\A=9;\ B=-7\\\\slope:m=-\frac{9}{-7}=\frac{9}{7}$