Question

Plz HELP

Write the equation of the line through (2,-4) that is perpendicular to the line Y= 1/3x-4 ​

Answer 1

y + 4 = -3(x - 2)

Explanation:

Perpendicular lines have opposite reciprocal slopes. Since the slope of the given line is 1/3, a perpendicular line would have a slope of -3. We know that the line goes through the point (2 , -4), so we can use point-slope form to write an equation.

Point slope:
`y-y_(1) =m(x-x_(1))`

y + 4 = -3(x - 2)

If necessary, this can be written in slope-intercept form as well. In this case, you'd solve for y.