Line \( a: 2 x+6 y=-3 \)

Did you know that this line is in the standard form of a linear equation, \(Ax + By = C\)? By rearranging it into slope-intercept form \(y = mx + b\), you can easily find its slope and y-intercept! For this line, you can rewrite it to find that the slope \((m)\) is \(-\frac{1}{3}\), and the y-intercept \((b)\) is \(-\frac{1}{2}\). A little algebra can turn this into a colorful graph! When grappling with these equations, a common pitfall is mixing up the coefficients! Remember, in standard form \(2x + 6y = -3\), \(A\) is 2, \(B\) is 6, and \(C\) is -3. When you convert to slope-intercept form, take care to correctly isolate \(y\). Double-check your arithmetic, and you'll avoid slipping into a tangled web of mistakes!