Mathematics, 03.08.2020 14:01 tanakamkuzha

Consider the line – 5x – 8y= 3. What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?

Answers: 3

Show answers

Answers

Answer from: lucas2020197

Perpendicular Slope: $\boxed{\frac{8}{5}}$

Parallel Slope: $\boxed{-\frac{5}{8}}$

Step-by-step explanation:

Part 1: Rewrite into slope-intercept form

Firstly, the equations are written in standard form and not slope-intercept form, so to change that, follow the steps below.

Note: Remember the slope-intercept form equation - $\boxed{y=mx+b}$

$-5x-8y=3\\\\5x + (-5x-8y)=3+5x\\\\-8y=5x+3\\\\\frac{-8y}{-8} =\frac{5x+3}{-8} \\$

$y=-\frac{5}{8}x-\frac{3}{8}$

Add to both sides of the equation to isolate the y-variable. Then, divide by the coefficient of y to isolate it entirely. The equation is now in slope-intercept form.

Part 2: Determine the perpendicular slope

Perpendicular slopes are reciprocals of the given slopes. To turn the original slope into its reciprocal counterpart, follow these steps:

If the current slope is positive, add a negative sign. If the current slope is negative, remove the negative sign.The denominator becomes the numerator and the numerator becomes the denominator.

To follow this for the slope of the given equation:

$\boxed{-\frac{5}{8} \dashrightarrow \frac{8}{5} }$

Part 3: Determine the parallel slope

Parallel slopes are equal - otherwise, the lines would eventually intersect. Therefore, the given slope is also the parallel slope.

The parallel slope is $\boxed{-\frac{5}{8}}$ .

Answer from: 2sally2

Perpendicular Slope: 8/5

Parallel Slope: -5/8

Step-by-step explanation:

First, let's rewrite the line into slope intercept form.

-5x - 8y = 3

-8y = 5x + 3

y = -5x/8 + -3/8

Okay, so now we know the slope, -5/8, and the y-intercept, -3/8.

For a line to be perpendicular, the slope needs to be opposite of the given line's slope. This will cause the two lines to cross at a 90-degree angle, and therefore be perpendicular.

So a perpendicular line could be as follows:

y = 8x/5 + -3/8

So the perpendicular slope would be 8/5.

For a line to be parallel, the slope needs to be the same so that the two lines will never cross.

So a parallel line could be as follows:

y = -5x/8 + 1

So the parallel slope would be -5/8.

Cheers.

Answer from: Quest

the answer is two. hope this !

Answer from: Quest

a orange at the grocery store idk what other product that could be

Another question on Mathematics

Mathematics, 21.06.2019 15:30

Find the vertex of the function given below y=x^2-6x+1

Answers: 2

Answer

Mathematics, 21.06.2019 16:30

What is true about the dilation? it is a reduction with a scale factor between 0 and 1. it is a reduction with a scale factor greater than 1. it is an enlargement with a scale factor between 0 and 1. it is an enlargement with a scale factor greater than 1.

Answers: 2

Answer

Mathematics, 21.06.2019 18:00

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126

Answers: 1

Answer

Mathematics, 21.06.2019 18:30

Aball is thrown from a height of 139 feet with an initial downward velocity of 15 ft/s. the ball's height h (in feet) after t seconds is given by the following. h=139-15t-16t^2 how long after the ball is thrown does it hit the ground? round your answer(s) to the nearest hundredth. (if there is more than one answer, use the "or" button.) t =

Answers: 1

Answer

You know the right answer?

Consider the line – 5x – 8y= 3. What is the slope of a line perpendicular to this line?
What...

Questions

Mathematics, 17.04.2021 05:10

A box is 10 inhigh, 18 inand 12 inwide. What is the longest poster you could fit in the box?...