Question

Choose the equation of the line passing through the point (-4, -2) and perpendicular to y = -x + 6.

y = -x + 6

y = x - 6

y = -x - 2

y = x + 2

Answer 1

There is a relationship between the slopes of perpendicular lines.
Do you know what it is?

Answer 2

not at all im very bad at math but i have to do good on this

Answer 3

The slopes of perpendicular lines are negative reciprocals.
That means that when you multiply them you get -1.

Answer 4

multiply there slopes...if answer is -1 then they are perp.

Answer 5

how do i multiply slope

Answer 6

The math term for slopes of perpendicular lines is that they are negative reciprocals.

The way to find a slope of a perpendicular is to flip the fraction and change the sign.

For example, if a line has slope 3/4, to find the slope of the perpendicular, you flip the fraction, getting 4/3, then you change the sign to -4/3.

Answer 7

In your case, you are given the equation of a line as

y = -x + 6

The slope is the coefficient (the number multiplying) the x variable.
-x means -1 * x, so the slope of the given line is -1.

Ok so far?

Answer 8

Now you need to slope of the perpendicular.

Flip -1. -1 is the same as -1/1. Flip it and you still have -1/1. Now change the sign to 1/1 which is the same as 1. That means the slope of the perpendicular is 1.

That means we will have an equation of the form

y = x + b

Answer 9

To find b, we use the given point in for x and y, and we solve for b.

y = x + b

-2 = -4 + b

Solve for b:

2 = b, or b = 2

That means the equation of the perpendicular is

y = x + 2

Answer 10

is it b?