The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Step-by-step explanation:
The parallel lines have:
- Same slopes
- Different y-intercepts
The form of the linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept
∵ The equation of the given line is y = 5x + 4
∴ m = 5 and b = 4
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line = 5
- Substitute the value of the slope in the form of the equation
∴ y = 5x + b
- To find b substitute x and y in the equation by the coordinates
of any point on the line
∵ The parallel line passes through point (-1 , 2)
∴ x = -1 and y = 2
∵ 2 = 5(-1) + b
∴ 2 = -5 + b
- Add 5 to both sides
∴ 7 = b
- Substitute the value of b in the equation
∴ y = 5x + 7
The equation of a line parallel to y = 5x + 4 that passes through (-1 , 2) is y = 5x + 7
Learn more:
You can learn more about the equations of the parallel lines in brainly.com/question/9527422
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Hi there,
Properties of Equality is two equations that have the same solution which are called equivalent equations. For example: 5+3=2+6 which all equal to 8.
In geometry, properties of Equality are the reflexive (2x=2x, a=a, b+1=b+1), symmetric (2a=3b then 3b=2a) and transitive property (if a+1=3 and 3=1-b, then a+1=1-b)
Hope this helped :)
Have a great day
Answer: 
Step-by-step explanation:
Given
The temperature on Monday was 
By Tuesday, it becomes 
Change in temperature is the difference between the two temperatures.
Therefore, the change in temperature is .
Answer:
for second question
first length is 9cm
Area=l*b
= 9cm *9cm
=81<em><u>cm</u></em>
then, For semicircle
radius is 9 cm
area= 1/2*9cm
now , area of two semi circle = 2*1/2*9
= 9 cm
now area of shaded = 81-9
=72
Hello! $200 is the fixed amount. B doesn't have 200 as part of the problem, so B is eliminated. A is also out, because you add, not subtract. 100 is the amount of boots made, not the amount made per pair of boots. 100 would be the value of "x". The cost per day is $9,200, and 9,200 - 200 is 9,000. With 100 pairs of boots being made each day, 9,000/100 is 90. It would cost $90 per pair of boots made, with the variable "x" being beside it. The correct equation would be C(x) = 90x + 200. The answer is D.
