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Q' = (7, 2 ) and R' = (1, - 5 )
given P(- 4, 4 ) and P'(3, 1 ), then the translation vector is
v = < 3, 1 > - < - 4, 4 > = < 7, - 3 >
Thus to obtain the coordinates of the images, add 7 to the x-coordinate and subtract 3 from the y-coordinate
Q(0, 5 ) → Q'(0 + 7, 5 - 3 ) → Q'(7, 2 )
R(- 6, - 2 ) → R'(- 6 + 7, - 2 - 3 ) → R'(1, - 5 )
Answer:
<h2>B. 3 people; 9 cups</h2>
Step-by-step explanation:
It is obvious that we are in a proportionality situation
12÷4=3
27÷3=9
3÷3=1
Answer:
The point-slope equation of the line is y - 2 = 3(x + 9)
Step-by-step explanation:
The form of the point-slope equation is y - y1 = m(x - x1), where
- m is the slope of the line
- (x1, y1) is a point on the line
∵ The slope of a line is 3
∴ m = 3
∵ The line passes through point (-9, 2)
∵ x1 = -9
∴ y1 = 2
→ Substitute the values of m, x1, and y1 in the point-slope form
∵ y - y1 = m(x - x1)
∴ y - 2 = 3(x - (-9))
→ Remember (-)(-) = (+)
∴ y - 2 = 3(x + 9)
∴ The point-slope equation of the line is y - 2 = 3(x + 9)
