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kupik [55]
3 years ago
13

What is the slope of the line passing through the points (0,-5) and (4,2)?

Mathematics
1 answer:
alukav5142 [94]3 years ago
3 0

Answer:

\huge{ \boxed{ \tt{ \frac{ 7}{4} }}}

Step-by-step explanation:

\text{Let \: the \: points \: be \: A \: and \: B}

\sf{A \:( \: 0 \:,  - 5 \: )  \longrightarrow{ \: (x1 \:, y1)}}

\sf{B(4 \:, 2) \:  \longrightarrow{ \:( x2 \:, y2)}}

\underline{ \text{Finding \: the \: slope} }:

\boxed{ \sf{Slope =  \frac{y2 - y1}{x2 - x1}}}

\sf{➳ \: Slope =  \frac{2 - ( - 5)}{4  - 0}}

\sf{➳ \: Slope =  \frac{ 2 + 5}{4} }

\sf{➳ \: Slope =  \frac{7}{4} }

\text{Hope \: I \: helped!}

\text{Best \: regards!}

~\text{TheAnimeGirl}

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It is asking you to find the sum of k^2 - 1 from k=1 to k=4. Since that is only 4 numbers, calculating the sum by hand wouldn’t be that bad.

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The easier way to find the sum is to use a few simple formulas.

When we have a term that is just a constant c, the formula is c*n.

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When we have a squared variable, the formula is k*n*(n+1)*(2n+1)/6.

In this case, we have a squared variable k^2 and a constant of -1.

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