Y = mx + b
slope(m) = -1
(7,2)...x = 7 and y = 2
now we sub and find b, the y int
2 = -1(7) + b
2 = -7 + b
2 + 7 = b
9 = b
so ur equation of this line is : y = -1x + 9.....can also be written as :
y = -x + 9....or if u need it in standard form, it is : x + y = 9
Answer:
D) (x, y) → (1/3x , 1/3 y)
Step-by-step explanation:
A dilation is a change of size, if the dilation factor is greater than 1, then the figure is enlarged. If the dilation factor is smaller than 1, the figure is shrinked. In both cases, the coordinates are MULTIPLIED by the dilation factor.
Among the 4 choices, only 2 are dilations. One is with a dilation factor of 3 (A), which means the shape was enlarged. And the other is with dilation factor of 1/3, meaning the shape was shrinked.
Since we went from MNOP (LARGE one) to M'N'O'P' (small one), the dilation factor was < 1... so 1/3 is the answer.
Answers B and C show a translation/movement of the shape, not a dilation.
Answer:
Interest earned = $32.835
Step-by-step explanation:
Given the following data;
Principal = $275
Number of times = 0.5
Interest rate = 2.9% = 0.029
Time = 4 years
To find the interest earned, we would use the compound interest formula;
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;

A = $307.835
Interest earned = 307.835 - 275
Interest earned = $32.835