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MissTica
3 years ago
8

What is the equation of a line that passes through the points (-3, 4) and (2,8)?

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

Given that the line passes through the two points (-3,4) and (2,8)

We need to determine the equation of the line.

<u>Slope:</u>

The slope of the line can be determined using the formula,

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

Substituting the points (-3,4) and (2,8) in the above formula, we get;

m=\frac{8-4}{2+3}

m=\frac{4}{5}

Thus, the slope of the line is m=\frac{4}{5}

<u>Equation of the line:</u>

The equation of the line can be determined using the formula,

y-y_1=m(x-x_1)

Substituting the point (-3,4) and m=\frac{4}{5} in the above formula, we have;

y-4=\frac{4}{5}(x+3)

y-4=\frac{4}{5}x+\frac{12}{5}

     y=\frac{4}{5}x+\frac{12}{5}+4

     y=\frac{4}{5}x+\frac{32}{5}

Thus, the equation of the line is y=\frac{4}{5}x+\frac{32}{5}

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Step 1:
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Step 2:
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Step 3:
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2 years ago
You have D dollars to buy fence to enclose a rectangular plot of land (see figure at right). The fence for the top and bottom co
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\begin{gathered} D=8x+6y \\ \Rightarrow x=\frac{D-6y}{8} \end{gathered}

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To find the maximum possible area, solve A'(y)=0, as shown below

\begin{gathered} A^{\prime}(y)=0 \\ \Rightarrow\frac{D}{8}-\frac{3}{2}y=0 \\ \Rightarrow\frac{3}{2}y=\frac{D}{8} \\ \Rightarrow y=\frac{D}{12} \end{gathered}

Therefore, the corresponding value of x is

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1 year ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Please help me figure this one out !!!
strojnjashka [21]
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g(x+a)  means insert (x+a) into g(x) to replace every x:
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5 0
3 years ago
Please help me with this.
likoan [24]

It is possible for two different inputs to give you the same output. For example, -2 and 2 produce the same result: 5.

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6 0
3 years ago
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