Answer:
Step-by-step explanation:
Use the slope-intercept formula:
m is the slope and b is the y-intercept. Use the slope formula first:
Rise over run is the change in the y-axis over the change in the x-axis. Plug in the coordinates:
Simplify parentheses (two negatives makes a positive):
Simplify:
The slope is 
. Insert into the equation:
Now, to find the y-intercept, take one of the points and substitute for the x and y values of the equation:
Solve for b, the y-intercept. Simplify parentheses:
Add 
to both sides:
Simplify:
The y-intercept is 
. Insert this into the equation:
Finito.
Answer:
300 girls were there in the gym.
Step-by-step explanation:
Given:
The ratio of the number of boys to the number of girls was 4:3, after 160 boys left the gym, the ratio became 4:5.
Now, to find the number of girls in the gym.
The girls in the gym does not left, their quantity is same before and after.
So, we multiply the both ratios to make the girls ratio same:
4:3 × 5 = 20:15
4:5 × 3 = 12:15
Now, <em>we find the units of the ratio</em>.
<em>The ratio of boys dropped down by 160</em>:
20 - 12 = 8 units.
160 = 8 units
Now, dividing both sides by 8 we get:
20 = 1 unit
So, 1 unit = 20.
Now, girls = 15 units
So, 15 × 20 = 300.
Therefore, 300 girls were there in the gym.
The answer would be 56.10
