Question

The lines are perpendicular. Find the slope-intercept form of the equation of line y₂

Answer 1

When you want to find the slope of the perpendicular line, all you have to do is flip the known slope upside down and make it negative. You know that $y_{1} 's$ slope is 3 and you know $y_{2}$ is perpendicular. So, just flip 3 upside down into $\frac{1}{3}$ and then make it negative, -$\frac{1}{3}$. If you look at the coordinate grid, you can see that $y_{2}$ crosses the y-axis at 4. When you put those into slope-intercept form you get $y_{2}$ = -$\frac{1}{3}$x + 4.