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e-lub [12.9K]
3 years ago
13

Graph the lines by finding the points of intersection with the axes (intercepts): y=−6x−2

Mathematics
1 answer:
Musya8 [376]3 years ago
4 0

So, we know the slope equation y = mx + b. The b value represents the y intercept, which is the point where the line intersects the y axis. This means that the x value will always be 0. In this equation, the y-intercept is -2, so the y intercept as an ordered pair is : (0, -2). For the x intercept, there are several ways of doing it. For this problem, we can work backwards. There is a slope of 6 units down for every unit right. Starting from our y intercept, we can do the opposite: 6 units up for every unit left. this means our x intercept is -0.3. As an ordered pair, this is (-0.3, 0).

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Step-by-step explanation:

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Please find which quadratic equation matches the graph with work attached
lesya [120]

Answer:

C

Step-by-step explanation:

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Next we can use the equation x=\frac{-b}{2a} that is used in order to find the vertex of the parabola.

A)

f(x)=-x^2+6x+7\\a=-1,b=6,c=7\\\\x=\frac{-6}{-2} \\x=3

As the vertex is at x=3 on the graph, this one could be a contender.

C)

f(x)=-x^2+6x-7\\a=-1,b=6, c=-7\\\\x=\frac{-6}{-2} \\\\x=3

This also could be the equation

D)

f(x)=-x^2-6x-7\\\\a=-1, b=-6, c=-7\\\\x=\frac{6}{-2} \\\\x=-3

This rules option D out.

For this last step, we can look at where the zeroes would be for each equation. (These values are irrational, so we cannot look at specific number)

A)

f(x)=-(x^2-6x-7)

As this equation has a negative value for c, this means that one zero must be positive and the other must be negative.

This means that option A can be ruled out

C)

f(x)=-(x^2-6x+7)

As this equation has a positive value for c, this means that both of the zeroes must be positive. This means that it is the only one that fits all of the criteria.

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3 years ago
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Step-by-step explanation: that is the answer, because the dots are rising up in a slope

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