Question

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

Answer 1

`5x-7y=14 \\ \\7y = 5x-14 \ \: 7 \\ \\y=(5)/(7)x -(14)/(7) \\ \\y=(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=(5)/(7)`


`x-intercept is : \ \  y=0 \\ \\0=(5)/(7)x -2 \\ \\(5)/(7)x =2 \ \ \cdot  /((7)/(5)) \\ \\ x=(14)/(5) \\ \\((14)/(5),0)\\ \\y-intercept is : \ \  x=0 \\\\y=(5)/(7) \cdot 0 -2\\ \\ y=-2 \\ \\(-2,0)`