1.) Where was CJ located? Identify its coordinates and name the location.
2.)Who belong/s to the first quadrant?
3.)Who belong/s to the fourth quadrant?
4.) Who is located at y-intercept? Name the coordinates.
5.)Who is located at x-intercept? Name the coordinates
6.)What is the slope of Lee and Carl?
7.)What is the slope of Kay and John?
8.)What is the slope of Renz and Kay?
9.)What is the slope of Lee and Sam?
10.)When Sam moves using the slope 2/5, what is his new location? Name the coordinates.
11.)When CJ moves using the slope -3/4, what is his new location? Name the coordinates.
12.)When Kay moves using the slope 3/-1, what is her new location? Name the coordinates.
13.)What is the sign of the slope of Renz and Lee?
14.) What is the sign of the slope of Sam and Renz?
15.) What is the sign of the slope of CJ and Lee?
Answers & Comments
Answer:
1. CJ is located at (0,0) the origin
2. John and Renz
3. Lee
4. CJ is located at the y-intercept (0,0)
5. Kay and CJ are located at the x-intercept, Kay's coordinates are (-4,0) and CJ's coordinates are(0,0)
6. The slope of Lee and Carl is 1/-8
7. The slope of Kay and John is 5/8
8. The slope of Renz and Kay is -3
9. The slope of Lee and Sam is 6/-7
10 Sam's new location is the first quadrant and his coordinates are (1,5)
11. CJ's new location is the fourth quadrant and his coordinates are (4,-3)
12. Kay's new location is the quadrant and her coordinates are (-5,3)
13. The sign of the slope of Renz and Lee is undefined
14.) The sign of the slope of Sam and Renz is 0
15.) The sign of the slope of Sam and Renz is negative
Step-by-step explanation:
to get the slope you need to follow the equation (y₁ - y₂)/(x₁-x₂)
take number 6 as an example Lee is at (3,-3), while carl is at (-5,-2)
we make the equation
(-3 - (-2))/ (3 - (-5))
(-3 + 2)/ (3 + 5)
-1/8
it does not matter what order you put the y or x coordinates, just make sure that y is the numerator and x is the denominator
-2 - (-3)/(-5 - (3))
(-2 + 3)/(-5 - 3)
1/-8 which is the same as -1/8
since y/x is rise over run we start at the coordinates of a person lets us Cj's coordinates of (0,0) he will now go down 3 units (-3) and go right 4 units (4), so his new location is the 4th quadrant at the coordinates (4,-3)
if your slope has 0 in the numerator the slope is 0, if it has 0 in the denominator it is undefined
To identify the sign of a slope just look where it starts from. If the line is going downwards from left to right it is negative, but if the line is going upwards from left to right it's positive (remember / = positive, \ = negative, | = undefined, -- = 0.)