Question

http://prntscr.com/pma93j

Answer 1

@Hero

Answer 2

First, do you recall the point-slope form of the equation of a line?

Answer 3

y - y1 = m(x - x1)

Answer 4

Very good. And do you recall what m represents?

Answer 5

m is the slope

Answer 6

Correct and what is the value of the given slope for this problem?

Answer 7

-3

Answer 8

So this means we can insert -3 in place of m in the formula. Would you mind trying this?

Answer 9

y - y1 = -3(x - x1)

Answer 10

Excellent. Now the given point is \((x_1,y_1) = (3,-4)\). In other words \(x_1 = 3\) and \(y_1 = -4\)

Answer 11

Can you insert those values to the formula as well?

Answer 12

y--4=-3(x-3)

Answer 13

Very good, but it is more correct to use parentheses properly and write it as \(y - (-4) = -3(x - 3)\). Using parentheses helps to avoid making mistakes later.

Answer 14

From here you apply properties of algebra. On the left hand side, apply the property of an opposite number. -(-a) = a

Answer 15

On the right hand side, apply the distributive property: a(b + c) = ab + ac

Answer 16

so positive 4

y-4=-3(x-3)

then

y-4=-3x+(-9)?

Answer 17

If you apply the property correctly on the left hand side you should get y + 4

Answer 18

On the right hand side, you have to multiply -3 by x and then -3 by -3. Remember the properties of multiplying negative numbers.

Answer 19

The product of two negative numbers is a positive number.

Answer 20

but do I have to add this in my answer because it only asks for the equation in point slope form which we did and that was y−(−4)=−3(x−3)

Answer 21

You should at least simplify the left hand side.

Answer 22

So just simplify the left hand side, then you'll be done

Answer 23

okay got that im going to make a new post