Find the Linear Function with Slope 6y Through Point (6,41)

A straight line has a slope of 6y and passes through the points (6,41) (6,41) .

Which function corresponds to the line described?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Find the algebraic representation for the function
00:03 We'll use the straight line equation
00:09 We'll substitute the point according to the given data
00:13 We'll substitute the line's slope according to the given data
00:21 We'll continue solving to find the intersection point
00:29 We'll isolate intersection point B
00:37 This is the intersection point with the Y-axis
00:46 Now we'll substitute the intersection point and slope in the line equation
00:54 We'll factor 6 into 2 and 3
01:06 We'll factor 5 into 2 and 2.5
01:14 We'll factor out the common term from the parentheses
01:21 And this is the solution to the question

Step-by-step written solution

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1

Understand the problem

A straight line has a slope of 6y and passes through the points (6,41) (6,41) .

Which function corresponds to the line described?

2

Step-by-step solution

To solve the exercise, we will start by inserting the available data into the equation of the line:
y = mx + b
41 = 6*6 + b
41 = 36 +b
41-36 = b
5 = b

Now we have the data for the equation of the straight line:

y = 6x + 5
But it still does not match any of the given options.

Keep in mind that a common factor can be excluded:
y = 2(3x + 2.5)

3

Final Answer

y=2(3x+212) y=2(3x+2\frac{1}{2})

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Which statement best describes the graph below?

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