-3
1/3
3
6
coordinates are (0,1) and (-2,-5)
5 answers
To find the slope of the line given two points, you can use the slope formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
In this case, the coordinates you provided are (0, 1) and (-2, -5). Let's assign the points:
Now, substituting these values into the slope formula:
\[ m = \frac{-5 - 1}{-2 - 0} \] \[ m = \frac{-6}{-2} \] \[ m = 3 \]
So, the slope of the line is \(3\).
To understand the equation given, \(4 = 4x\), we can rearrange it to express the number of bales of hay needed (y) in terms of the number of goats (x).
Starting from the equation:
\[ 4 = 4x \]
If we assume \(y\) is the number of bales of hay and set it as:
\[ y = 4x \]
Now, we see that the equation indicates that for every goat (x), the number of bales of hay needed (y) is given by multiplying the number of goats by 4.
From this perspective, the constant of proportionality here is \(4\).
Now, interpreting this in the context of the problem:
Thus, the correct interpretation is:
The constant of proportionality is 4. Each goat needs 4 bales of hay per day.
To find out how many hours the figure skater will practice in 9 weeks, you need to multiply the daily practice hours by the number of days in 9 weeks.
First, let's determine the number of days in 9 weeks:
\[ 9 \text{ weeks} \times 7 \text{ days/week} = 63 \text{ days} \]
Now, multiply the number of hours practiced per day by the total number of days:
\[ 9 \text{ hours/day} \times 63 \text{ days} = 567 \text{ hours} \]
Thus, the skater will practice 567 hours in 9 weeks.
