The equation of the line in slope-intercept form is y = 9 · x + 85.
<h3>How to derive the equation of a line in slope-intercept form</h3>
In this question we must determine the equation of a line in slope-intercept form that is parallel to y = 9 · x and that contains the point (x, y) = (- 9, 4). Two lines are parallel when they share the same slope and have two different intercepts. The line equation in slope-intercept form is described below:
y = m · x + b
Where:
- m - Slope
- b - Intercept
- x - Independent variable
- y - Dependent variable
If we know that (x, y) = (- 9, 4) and m = 9, then the intercept of the equation is:
b = 4 - 9 · (- 9)
b = 4 + 81
b = 85
The equation of the line is y = 9 · x + 85.
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Answer: £214
Step-by-step explanation:
She works 18 hours in total for week days.
So, 8 x 15 = £120
And, 3 x 10 = £30 for extra hours
120 + 30 = £150
On Saturday she works 4 hours.
8 x 2 = 16 per hour as it doubles
So, 16 x 4 = £64
Finally, £150 + £64 = £214
£214 for last week
Number of shares bought = 8,000
Purchase price =$7.29
Total purchase price = 8000*7.29 = 58,320
Sale price = $10.31
Total selling price = 8000*10.31 = 82,480
Total Gain = 82,480 -58,320
Total Gain = 24,160
Percentage Gain = Total gain/ Total Purchase price *100
Percentage Gain = 24,160/58,320 * 100 = 41.43%
Percentage Gain = 41.43% (Rounded to two decimals)
Answer:
A rate is a little bit different than the ratio, it is a special ratio. It is a comparison of measurements that have different units, like cents and grams. A unit rate is a rate with a denominator of 1.
Per is defined as to, for, by or according to. An example of per used as a preposition is in the phrase, "as per standards," which means by the standards
Division is splitting into equal parts or groups. It is the result of "fair sharing