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lara31 [8.8K]
3 years ago
11

What is the slope intercept equation for a parallel line through (1,3), parallel to y=2x+5

Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

the desired line is y = 2x+1

Step-by-step explanation:

A line parallel to y=2x+5 has a very similar equation.  All we have to do here is to write y=2x+5 as y=2x+b and find b for x = 1 and y = 3.

Replacing y with 3 and x with 1, we get 3 = 2(1) + b.  Then b = 1, and the desired line is y = 2x+1

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Explanation:

<u>Given Expression</u>:

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\sf x = \dfrac{ -b \pm \sqrt{b^2 - 4ac}}{2a}  \  \ when   \ \  ax^2 + bx + c = 0

<u>insert coefficients</u>

\Longrightarrow \sf x = \dfrac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:3\cdot \:5}}{2\cdot \:3}

\Longrightarrow \sf x = \dfrac{\left6\right\pm \sqrt{-24} }{6}

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\Longrightarrow \sf x=1+i\sqrt{\dfrac{2}{3}},  \quad 1-i\sqrt{\dfrac{2}{3}}

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