Which expression is equal to ....
2 answers:
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Answer: y - 1 = –(x –7)
or y –5 = –1(x –3)
The attachment shows the graph of these equations (identical)
Step-by-step explanation:
The basic form for a point-slope equation is
y - b = m(x - a)
a is the x-value from the given coordinate, b is the y-value form the given coordinate, m is the slope. x and y are the variables in the function.
To find the slope, m, use the given coordinates. Get the difference in the y-values and divide by the difference in the x-values. This is "rise over run."
Subtract the first coordinate from the second coordinate.
Given coordinate points: (3,5) and (7,1) substitute values:
m= 1 –5 / 7 –3 becomes m= –4/4 so the slope, m = –4/4
That is –1 The "1" is "understood," so only the negative sign represents the slope in the equation
To write the equation: Take the basic form, substitute b and a values from either given coordinate. And use the value of m we just calculated.
y - b = m(x - a) Using the second coordinate: (7,1)
y - 1 = –(x –7)
or using the first coordinate:
y –5 = –(x –3)
Answer:
-6x=-58
Step-by-step explanation:
Given:
The total cost of the order is
where, T is the total cost, b is the number of bath towels, and w is the number of wash cloths.
Her budget is $85.
To find:
The constraints, so that she can order a maximum of washcloths or bath towels.
Solution:
We have,
Her budget is $85. So, total cost is less than or equal to 85.
...(i)
For maximum number of bath towels, the number of wash cloths is 0.
Divide both sides by 6.
For maximum number of wash cloths, the number of bath towels is 0.
Divide both sides by 2.
Therefore, the required constraints for maximum of washcloths or bath towels are and
respectively.