P(x, y) Q(x,y)
P(-2, -1) start at 0. Go to the left two squares, then go down 1 square. mark a point there
Q(2, 4) start at 0. Go to the right two squares, go up 4 squares. mark a point there.
connect two points
make a right triangle
Then use the pythereom
2 Answers:
- B) The lines are parallel
- C) The lines have the same slope.
Parallel lines always have equal slope, but different y intercepts.
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Explanation:
Let's solve the second equation for y
3y - x = -7
3y = -7+x
3y = x-7
y = (x-7)/3
y = x/3 - 7/3
y = (1/3)x - 7/3
The equation is in y = mx+b form with m = 1/3 as the slope and b = -7/3 as the y intercept. We see that the first equation, where y was already isolated, also has a slope of m = 1/3. The two equations of this system have the same slope. Choice C is one of the answers.
However, they don't have the same y intercept. The first equation has y intercept b = -4, while the second has b = -7/3. This means that they do not represent the same line. They need to have identical slopes, and identical y intercepts (though the slope can be different from the y intercept of course) in order to have identical lines. So we can rule out choice D and E because of this.
Because the two equations have the same slope, but different y intercepts, this means the lines are parallel. Choice B is the other answer.
Parallel lines never touch or intersect, which in turn means there is no solution point. A solution point is where the lines cross. We can rule out choice A.
I recommend using your graphing calculator, Desmos, GeoGebra, or any graphing tool (on your computer or online) to graph each equation given. You should see two parallel lines forming. I used GeoGebra to make the graph shown below.
It would be equal to 110 2/7
The answer is 3/2. you do this by subtracting 7 1/4 from the 8 3/4 and simplifying the 6/4!
<h3><u>1. Find the permutation of the word LOVE taken 2 letters at a time.</u></h3>
<h2><u>ANSWER</u><u> </u><u>IS</u><u> </u><u>C.12</u></h2>
<h2>--------------------------------------------------------------------------------</h2>
<h3><u>2. If 3 girls enter a jeepney in which there are 7 vacant seats, how many ways are there for them to be seated?</u></h3>
<h2><u>ANSWER</u><u> </u><u>IS</u><u> </u><u>B.210</u></h2>
<h2>--------------------------------------------------------------------------------</h2>
<h3><u>3. How many combinations can be made from the letters of the word MOTHER taken 4 at a time.</u></h3>
<h2><u>ANSWER</u><u> </u><u>IS</u><u> </u><u>A.15</u></h2>
#CarryOnLearning
#JustEnjoyTheSummer
<h3>→XxKim02xX</h3>
