Question

What is the answer to 5x-7y=14

Answer 1

$5x-7y=14 \\ \\7y = 5x-14 \ \: 7 \\ \\y=\frac{5}{7}x -\frac{14}{7} \\ \\y=\frac{5}{7}x -2$

$Linear \ functions \ Where \ : \\y=mx + b \\x,y \ \ \ are \ the \ coordinates \ of \ any \ point \ on \ the \ line \\m \ \ \ \ is \ the \ slope \ of \ the \ line \\ b \ \ \ \ is \ the \ y-intercept \ (where \ the \ line \ crosses \ the \ y-axis) \\ \\m=\frac{5}{7}$

$x-intercept is : \ \ y=0 \\ \\0=\frac{5}{7}x -2 \\ \\\frac{5}{7}x =2 \ \ \cdot /(\frac{7}{5}) \\ \\ x=\frac{14}{5} \\ \\(\frac{14}{5},0)\\ \\y-intercept is : \ \ x=0 \\\\y=\frac{5}{7} \cdot 0 -2\\ \\ y=-2 \\ \\(-2,0)$