Write an equation of the line that is (a) parallel and (b) perpendicular to the line

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

Answer:Parallel , the equation is y = 3x - 5

perpendicular : y = -x/3 -7/3

Step-by-step explanation:

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$\huge\text{Hey there!}$

$\mathsf{\dfrac{x}{4}\geq-6}$

$\large\text{SUBSITUTE 1 where x is at temporarily, so we can simplify both}\\\large\text{sides of your inequality}$

$\large\text{NEW EQUATION: }\mathsf{\dfrac{1}{4}x \geq-6}$

$\large\text{MULTIPLY by 6 to BOTH SIDES}$

$\mathsf{4\times\dfrac{}{}x \geq 4\times-6}$

$\large\text{CANCEL out: }\mathsf{4\times\dfrac{1}{4}}\large\text{ because that gives you the value of 1}$

$\large\text{KEEP: }\mathsf{4\times-6}\large\text{ because it helps you find out the number or value}\\\large\text{that is being compared to your x-value}$

$\mathsf{4\times-6=\boxed{\bf -24}}$

$\large\text{So, the number \underline{-24} is being compared to your x-value}$

$\bullet\large\text{ Your circle is CLOSED and it is shaded to the right side of the}\\\large\text{number}\huge\checkmark\\\\\\\large\textsf{Random fact about the inequality}\uparrow$