That line is in point-slope form:
Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.
Reciprocal:
Multiply by -1:
We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.
Negatives cancel out:
Distribute 1 into the parenthesis:
Subtract 2 to both sides:
Where 'm' is the slope and (x1, y1) is a point on the line.
Perpendicular lines have opposite slopes. To get the opposite, we take the reciprocal and multiply it by -1.
Reciprocal:
Multiply by -1:
We can plug this slope and the point into point-slope form, and then convert it to slope-intercept form.
Negatives cancel out:
Distribute 1 into the parenthesis:
Subtract 2 to both sides: