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
`(1)/(3)` and then make it negative, -
`(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)` = -
`(1)/(3)`x + 4.