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Snezhnost [94]
2 years ago
13

8th grade - geometry

Mathematics
1 answer:
Cloud [144]2 years ago
8 0
What are you trying to prove here? I know when step will be the use of the Transitive Property. If a=b, and b=c, then a=c.
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Anyone know these???
Schach [20]
So you correctly wrote that the slope is represented by Δy/Δx. The Greek capital letter delta means "change in," so we are looking at the change in y divided by the change in x. You might also hear this called "rise over run," because change in y is the vertical change (rise) and change in x is the horizontal change (run).

Now, to find the change in y and x, we need to take two points, (x_1, y_1) and (x_2, y_2). We can then find the slope, m, as below:

m= \dfrac{y_2-y_1}{x_2-x_1}

So, as we're asked to state the slope and the behavior of the graph. Generally, if you see that as x increases, y increases, then the slope is positive. If y decreases, then the slope is negative. If y stays the same (constant), then the slope is zero. If x is constant, then the slope is undefined. Unfortunately, this worksheet also asks us to calculate the slope. So the equation above comes in handy!

1) let's take x = -1, y = -5 and x = 0, y = 3. We can write (x_1,y_1)=(-1,-5) and (x_2, y_2)=(0,3) (we can choose either point to be (x_1,y_1) so long as we're consistent.

m= \dfrac{3+5}{1}=8

This is a positive (+) change.

2) 

m= \dfrac{-4+1}{2} =  \dfrac{-3}{2}

Negative (–).

3) 

m= \dfrac{-9+4}{-9+6}= \dfrac{-5}{-3}= \dfrac{5}{3}

Positive (+).

4)

m= \dfrac{8-3}{-1+5}= \dfrac{5}{4}

Positive (+).

5)

m= \dfrac{4-5}{2+2}= \dfrac{-1}{4}

Negative (–).
6 0
3 years ago
What is the value of |y|+4- y* x if x = 7 and y = -2?
irga5000 [103]

The given expression is

|y|+4-y\cdot x

Let's replace x = 7 and y = -2.

\begin{gathered} |-2|+4-(-2)\cdot7 \\ 2+4+14 \\ 20 \end{gathered}<h2>Therefore, the value of the expression is 20.</h2>
8 0
1 year ago
What is 8.478 in expanded form?
kirill [66]
Answer: 1


explanation: the 1000 expands form
5 0
3 years ago
Read 2 more answers
10) Mr. Parker wants to draw a floor plan of his office, which measures 15 feet wide by 17.5 feet long. He is using the scale 1
Anna71 [15]
The width of his office on the floor plan is 2.5 in.
3 0
3 years ago
Read 2 more answers
Equation for the line perpendicular to the line -6x-7y=-6 having the same y-intercept as 8x-5y=10
PilotLPTM [1.2K]
Solving   <span>8x-5y=10   for y helps us to identify the y-intercept:

-5y = -8x + 10.  Dividing both sides by -5, we get (8/5)x -2.  Therefore, y = (8/5)x - 2; the y-intercept is (0,-2).

The equation  </span><span>-6x-7y=-6   can be solved for its slope in the same manner.
7y = -6x + 6;  then y = (-6/7)x + 6/7.  Its slope is -7/6.  A line perpendicular to this line has slope equal to the negative reciprocal of -7/6,  which is 6/7.

So, using the slope-intercept form, y = mx + b becomes y = (6/7)x -2.</span>
4 0
2 years ago
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