What is the slope-intercept form of the equation of a line that passes through (5, -4) and has a slope of `3/4`? a. `y = -(3)/(4) x -(1)/(4)` b. `y = 3/4 x +(1)/(4)` c. `y = 3/4 x -(31)/(4)` d. `y = 3/4 x +(31)/(4)`

Your answer would be C. y = (3/4)x - 31/4

We can find this first by using the slope we are given to write the equation y = (3/4)x + c. Then, we can substitute in the coordinates and solve:

-4 = (3/4 × 5) + c

-4 = 15/4 + c

- 15/4

-4 - 15/4 = c

To do this subtraction, we must first write -4 as -4/1, and then get it over 4 by multiplying by 4, so we get the fraction -16/4.

Then we can do -16/4 - 15/4 = -31/4, which is your y-intercept.

This makes the final answer y = (3/4)x - 31/4.

I hope this helps!

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step-by-step explanation:

7.   there are 10 data points in the set.   the middle point is between 5 and 6.   the middle point in the top half is 8   and the middle point in the bottom half is 3. to find the iqr , take point 8 and subtract point 3

mid term   point 8 = 100   point 3 = 88

iqr = 100-88 = 12

final   point 8 = 93   point 3 = 78

iqr = 93 - 78 = 15

the final has the greatest iqr

6.   b - there is a high data value that causes the data set to be asymmetrical for the males: the data for males are high and asymmetrical .   there is an outlier for the males that skews the data

5.   the   iqr is a better measure of spread for the movies and basketball games.   since the basketball game has an outlier, we do not want to use standard deviation for measurement.  

3.   the exam median is much higher than the class median.   the median line is farther to the right on the exams

2.   there is no way to tell what the means are from the box and whisker plots.  

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step-by-step explanation: