You've got five different problems in this photo ... four on top and the word problem on the bottom ... and they're all exactly the same thing: Taking two points and finding the slope of the line that goes through them.

In every case, the procedure is the same.
If the two points are (x₁ , y₁) and (x₂ , y₂) , then
the slope of the line that goes through them is

      Slope = (y₂ - y₁) / (x₂ - x₁) .

This is important, and you should memorize it.

#1). (8, 10) and (-7, 14)

   Slope = (14 - 10) / (-7 - 8) = 4 / -15

#2). (-3, 1) and (-17, 2)

   Slope = (2 - 1) / (-17 - -3) = (2 - 1) / (-17 + 3) = 1 / -14

#3). (-20, -4) and (-12, -10)

   Slope = [ -10 - (-4) ] / [ -12 - (-20) ]

=========================================

The word problem:

This question only gives you one point on the graph,
and then it wants to know what's the slope ?
What are you going to do for another point ?

A "proportional relationship" always passes through the origin,
so another point on the line is (0, 0) .

Now you have two points on THAT line too, and you can easily
find its slope.

4 0

3 years ago

Carmen's golf score is 6 strokes less than Linda's. Their two scores total 156. What is each girls score?

DochEvi [55]

Answer:

Carmen's score is 75 strokes.

Linda's score is 81 strokes.

Step-by-step explanation:

Let the score of Linda be "x".

It is given that Carmen's golf score is 6 strokes less than Linda's.

Thus, Carmen's score is (x-6).

The total score of the girls is