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2 years ago

8

What os the slope of a line that is perpendicular to the line shown

1 answer:

Dmitriy789 [7]2 years ago

7 0

Perpendicular lines have slopes that are negative reciprocals.

so first you must find the slope of the line given
the slope formula is

m=(y₂-y₁)/(x₂-x₁)

now you just plug in the coordinate points that you are given

m=(-2-2)/(0-(-3)
m=-4/3

so the slope of the line given is -4/3, the negative reciprocal of this would be 3/4

The slope of the perpendicular line would be 3/4

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How many 4-digit numbers can be created from the digits 6, 4, 2, 9, 7 and 1 without repeating any?

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3 years ago

I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work

sertanlavr [38]

<h2>Answers:</h2>

Solving for x on the question - <em>2x + 3y = 32</em> |

Answer : x = $\frac{-3}{2}$ ⁻y + 16

Solving for y on the question - <em>2x + 3y = 32</em> |

Answer : y = $\frac{-2}{3}$ x + $\frac{32}{3}$

<h3></h3>

Solving for x on question - 5x - 4y = -81 |

Answer : x = $\frac{4}{5}$ y + $\frac{-81}{5}$

Solving for y on question - 5x - 4y = -81 |

Answer : y = $\frac{-5}{4}$ x + $\frac{81}{4}$

<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

$\frac{2x}{2}$ = $\frac{-3y+32}{2}$

<u>x = </u> $\frac{-3}{2}$ <u>⁻y + 16</u><u> </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

$\frac{3y}{3}$ = $\frac{-2x+32}{3}$

<u>y = </u> $\frac{-2}{3}$ <u>x + </u> $\frac{32}{3}$ <u> </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

$\frac{5x}{5}$ = $\frac{4y-81}{5}$

<u>x = </u> $\frac{4}{5}$ <u>y + </u> $\frac{-81}{5}$ <u> </u>

<em>(Solving for y on question - 5x - 4y = -81 )</em>

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

$\frac{-4y}{-4}$ = $\frac{-5x-81}{-4}$

y = $\frac{-5}{4}$ x + $\frac{81}{4}$

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3 years ago