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3 years ago

Find the equation of a line that is parallel to y = 1/4x - 5 and going through the origin

Mathematics

1 answer:

vesna_86 [32]3 years ago

6 0

Parallel = same slope
Slope would be 1/4
Pass through (0,0)
Solution: y = 1/4x

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What is the equation of a line, in general form, that passes though points (-1,2) and (5,2)?

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Answer:

Step-by-step explanation:

To write the equation of the line. first calculate the slope using the slope formula.

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stira [4]

The solution is $x=-1$ and $x=-0.5$

Step-by-step explanation:

The expression is $2x(x+1.5)=-1$

Multiplying the term $x+1.5$ by $2x$ , we get,

$2x^{2} +3x=-1$

Adding both sides by 1,

$2x^{2} +3x+1=0$

Taking factor, we get,

$\begin{array}{r}{x^{2}+2 x+x+1=0} \\{2 x(x+1)+1(x+1)=0} \\{(2 x+1)(x+1)=0}\end{array}$

Equating the factors to 0,

$\begin{aligned}2 x+1 &=0 \\2 x &=-1 \\x &=-\frac{1}{2}\\x&=-0.5\end{aligned}$ and $\begin{aligned}x+1 &=0 \\x &=-1\end{aligned}$

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