The slope of the function on the left is multiplied by p, and q is added to the y-intercept to arrive at the function on the rig
ht. Which of the following are the values for p and q?
A) p= 1/4 and q= 3
B) p= 1/4 and q= 5
C) p= 1/4 and q= 4
D) p= 4 and q= 4
A) p= 1/4 and q= 3
B) p= 1/4 and q= 5
C) p= 1/4 and q= 4
D) p= 4 and q= 4
1 answer:
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Answer:
Step-by-step explanation:
Point Z divides XY into a 5:3 ratio, so Z is 5/3 of the way from X to Y. That ratio is k, found by writing the numerator of the ratio (5) over the sum of the numerator and the denominator (5 + 3 = 8). Our k value is 5/8. Now we will find the rise and run values which is the slope of this line segment:
Coordinates are found in this formula:
Filling that in:
which simplifies to
which gives us the final coordinates of Z to be