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Vedmedyk [2.9K]
3 years ago
6

How to graph the equation y= 2x + 3 and y= 2x -2?

Mathematics
1 answer:
Komok [63]3 years ago
8 0
Both equations are lines with a slope of 2. They will be parallel. They differ only in their y-intercept.

It can work well to graph the y-intercept, then plot another point that is at some horizontal distance from the y-axis and twice that distance above the y-intercept.

y = 2x + 3
Plot the point (0, 3) and the point (2, 7). Draw a line through those points.

y = 2x - 2
Plot the point (0, -2) and the point (2, 2). Draw a line through those points.

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Let's say the numbers are "a" and "b"
hmm say "a" is the smaller, and "b" the greater

so "b" is "4 more than 5 times" "a"

so... 5 times "a" is 5*a or 5a
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so.. whatever "a" is, "b" is 5a+4

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so       \bf \begin{cases}
a+b=22\\
--------------\\
\boxed{b}=5a+4\qquad thus\\
--------------\\
a+\boxed{5a+4}=22
\end{cases}

solve for "a", to see what the smaller one is

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