Answer: y=-1/3x+1
Step-by-step explanation:
To find an equation that contains the given point and has the same slope, we can plug it into slope-intercept form to find the y-intercept.
3=-1/3(-6)+b [multiply]
3=2+b [subtract both sides by 2]
b=1
Now that we know the y-intercept, we know that the equation is y=-1/3x+1.
Answer:
yes
Step-by-step explanation:
To determine if the point lies on the line substitute the coordinates into the left side of the equation and if equal to the right side then the point lies on the line
- 3 + (4 × 4) = - 3 + 16 = 13 = right side
Hence (- 3, 4) lies on the line x + 4y = 13
Answer:
93,675
Step-by-step explanation:
We see that the given sequence is an arithmetic sequence with first term 997, common difference -5, and last term 252.
The number of terms in the sequence (n) can be found from the formula for the n-th term:
an = a1 +d(n -1)
(an -an)/d +1 = n
(252 -997)/(-5) +1 = n = 150
The sum of these terms is the average of the first and last terms, multiplied by the number of terms:
S150 = (997 +252)/2·150 = 93,675
The sequence sum is 93,675.
Answer:
The answer is 1/64
Step-by-step explanation:
The answer is 1/64 because if you multiply the denominator of 1/4 by 2 you get 1/8 then if you do it again 3 more times you get 1/16 then 1/32 then 1/64
10+14+40= 64 ounces
16 ounces = 1 pound
64/16 = 4 pounds
