The slope-intercept form of a line is y = mx + b. To write the equation in slope-intercept form we need to find "m" and "b". The "y" and "x" don't change. The m stands for the slope of the line which is the vertical change (change in the y coordinates)...

When solving a equation (has an equal sign) that has the same variable (x) on both sides of the equation we must get the x's on one side of the equation and the constants (no variables like 8 or -6) on the other side of the equation. But in this case before we do that we must 1st simplify...