Graphing a line:
To graph a line, we find the x-intercept and the y-intercept, and trace a line passing through them.
In this question:
-6y = -7x + 42
y-intercept:
y when x = 0. So
-6y = -7*0 + 42
-6y = 42
6y = -42
y = -42/6
y = -7
x-intercept:
x when y = 0. So
-6*0 = -7x + 42
-7x + 42 = 0
7x = 42
x = 42/7
x = 6
Graph: