. Given PQ and point ???? that lies on PQ such that point ???? lies 7 / 9 of the length of PQ from point P along PQ:
1 answer:
Answer:
Point R is closer to Q.
Step-by-step explanation:
Correct Question Statement:
Given PQ and point R that lies on PQ such that point ???? lies 7 / 9 of the length of PQ from point P along PQ:
a. Sketch the situation described.
b. Is point R closer to P or closer to R, and how do you know?
c. Use the given information to determine the following ratios:
i. PR: PQ
ii. RQ: PQ
iii. PR: RQ
iv. RQ: PR
d. If the coordinates of point P are (0, 0) and the coordinates of point R are (14, 21), what are the coordinates
of point Q.
ANSWER
a. PQ is the line as shown below:
P_______R__Q
Point R lies at 7/9 means if PQ is divided in 9 parts then R lies at 7th place.
b. point R is closer to Q as shown above.
c. Ratios:
i. PR:PQ = 7:9.
ii. RQ:PQ = 2:9
iii. PR:RQ = 7:2.
iv. RQ:PR = 2:7.
d. Suppose coordinates of Q are (x,y)
7/9 of x is 14 → (7/9)*x = 14 → x = = 18
7/9 of y is 21 → (7/9)*y =21 → y = =27
Thus, Q(18,27) are required coordinates.
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<h3>Answer: y = 3x+4</h3>
Slope = 3
y intercept = 4
========================================================
Explanation:
Let's find the slope.
The slope is m = 3.
The y intercept is b = 4 due to the point (0,4). The y intercept <u>always</u> occurs when x = 0.
We'll then plug those m and b values into y = mx+b to get the answer y = 3x+4
-----------
As a way to check the answer, plugging x = 0 should lead to y = 4
y = 3x+4
y = 3*0+4
y = 0+4
y = 4
So that works out. Let's try x = 1. It should produce y = 7
y = 3x+4
y = 3*1+4
y = 3+4
y = 7
That works out also. The answer is fully confirmed.