Write an equation of the line that passes through (-4,-1)and is perpendicular to the line y =4/3 X + 6

Answer 1

So first, let's find the slope of the new line.

The original line's slope is 4/3. Perpendicular lines have a negative reciprocal slope, so the new line's slope will be -3/4.

Since we have a slope and we know a point that the line passes through, point-slope form would be the easiest way to write the equation:

y - y₁ = m(x - x₁)

Substitute (x₁, y₁) for your point (-4, -1):

y - (-1) = m(x - (-4))

y + 1 = m(x + 4)

Then plug in your slope, and you're done:

y + 1 = -(3/4)(x + 4)