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kenny6666 [7]
3 years ago
15

100 points Explain what the slope and intercept mean in the situation.

Mathematics
1 answer:
Nina [5.8K]3 years ago
3 0

Answer:

The slope means that every time the x value changes by +1, then the y value will change by +2.

The y-intercept is 3, which means is that when the y value is at 3, the line crosses the y-axis, or x has as value of 0.

For real though, why are there so many questions about slope and intercept, I just finished answering a question like this.

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If p varies directly as q and q= 70 when p= 10, find q when p = 12
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\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] ~\dotfill

\stackrel{\textit{"p" varies directly as "q"}}{p~~ = ~~kq}\qquad \textit{we also know that} \begin{cases} q=70\\ p=10 \end{cases}\implies 10=k70 \\\\\\ \cfrac{10}{70}=k\implies \cfrac{1}{7}=k\hspace{15em}\boxed{p=\cfrac{1}{7}k} \\\\\\ \textit{when p = 12, what is "q"?}\qquad 12=\cfrac{1}{7}q\implies 12=\cfrac{q}{7}\implies 84=q

5 0
1 year ago
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