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Ann [662]
3 years ago
8

What is the slope of the graph?

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

<u>Given</u>:

Given that an aquarium is being filled with water.

The given graph shows the height of the water over time as the aquarium is being filled.

We need to determine the slope of the graph.

<u>Slope</u>:

The slope of the given graph can be determined using the formula,

m=\frac{y_2-y_1}{x_2-x_1}

Since, the slope is same for all the points on the straight line, then let us consider the points (2,5) and (4,10)

Substituting these points in the above formula, we get;

m=\frac{10-5}{4-2}

Simplifying, we get;

m=\frac{5}{2}

m=2.5

Thus, the slope of the given graph is 2.5

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Answer:

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Step by step explanation:

In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.

Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."

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Step-by-step explanation:

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<em>•</em><em> </em><em>Also</em><em>,</em><em> </em><em>to</em><em> </em><em>form</em><em> </em><em>an</em><em> </em><em>eq</em><em>uation</em><em> </em><em>when</em><em> </em><em>a</em><em> </em><em>po</em><em>int</em><em> </em><em>throu</em><em>gh</em><em> </em><em>which</em><em> </em><em>line</em><em> </em><em>passes</em><em> </em><em>and</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>line</em><em> </em><em>is</em><em> </em><em>given</em><em> </em><em>we</em><em> </em><em>use</em><em> </em><em>the</em><em> </em><em>formula</em><em> </em><em>;</em>

<em>(</em><em> </em><em>y</em><em> </em><em>-</em><em> </em><em>y1</em><em> </em><em>)</em><em> </em><em>=</em><em> </em><em>m</em><em> </em><em>(</em><em> </em><em>x</em><em> </em><em>-</em><em> </em><em>x1</em><em> </em><em>)</em>

<em>Where</em><em> </em><em>,</em><em> </em><em>y</em><em> </em><em>and</em><em> </em><em>x</em><em> </em><em>are</em><em> </em><em>vari</em><em>ables</em><em> </em>

<em>and</em><em> </em><em>(</em><em> </em><em>x1</em><em> </em><em>,</em><em> </em><em>y1 </em><em>)</em><em> </em><em>are</em><em> </em><em>the</em><em> </em><em>po</em><em>ints</em><em> </em><em>through</em><em> </em><em>which</em><em> </em><em>line </em><em>passes</em><em> </em>

<em>also</em><em>,</em><em> </em><em>m</em><em> </em><em>=</em><em> </em><em>slope</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>re</em><em>quired</em><em> </em><em>line</em><em> </em>

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<em>[</em><em> </em><em>Ref</em><em>er to</em><em> the</em><em> attached</em><em> file</em><em> for</em><em> </em><em>furth</em><em>er</em><em> </em><em>process</em><em> </em><em>]</em>

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