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3 years ago

Consider the line y=2x-8.

2 answers:

andrey2020 [161]3 years ago

8 0

Answer: The slope of a line parallel to this line is 2. The slope of a line perpendicular to this line is - $\frac{1}{2}$ .

Step-by-step explanation:

You know that your slope for this equation is 2, since that is your “m” in the slope-intercept equation, y = mx + b.

Lets split this into two parts.

Part 1: Finding the parallel slope

We know that the slopes of paralell lines are the same.Therefore, the slope of a line parallel to the one we know would also be 2!

Part 2: Finding the perpendicular slope

We also know that the slopes of perpendicular lines are opposite reciprocals, meaning the the sign (negative or positive) is changed, and the number is flipped over itself. As taught in my pre-algebra class, change the sign, flip the line.

Here is an example:

The opposite reciprocal of the number 5 is - $\frac{1}{5}$ . First, I changed the number to negative, then I figured out that 5 is technically $\frac{5}{1}$ , so I flipped that around.

Now, let’s get on to the real problem. If you do the math, the opposite reciprocal of 2 will be - $\frac{1}{2}$ . Therefore, that is your slope of that perpendicular lime.

Hope this helps! :)

professor190 [17]3 years ago

3 0

Answer:

The slope of a parallel line is 2.

The slope of a perpendicular line is: -1/2

Step-by-step explanation:

The slope of the line y=2x-8 is 2.

Parallel lines has the same slope.

Perpendicular lines has the negative reciprocal of the slope.

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Line Equation from Two Points

Verdich [7]

Hi!

We can use point-slope form to solve this.

$y-y_{1} =m(x -x_{1})$

$y_{1}$ and $x_{1}$ will be from one of the points.

First, we have to find $m$ , the slope. We can use the slope equation to get this.

$\frac{y_{1} -y_{2} }{x_{1} -x_{2} }$

Plug in your points:

$\frac{4-0}{8-(-8)} =\frac{4-0}{8+8} =\frac{4}{16} =\frac{1}{4}$

Your slope is $\frac{1}{4}$

Now plug points and slope into point-slope equation. We will use (8, 4).

$y-4=\frac{1}{4} (x-8)$

Now, if you want to get it into y = mx + b form, you have to solve for y:

$y-4=\frac{1}{4} (x-8)$

$y-4=\frac{1}{4} x-2$

$y=\frac{1}{4} +2$

Your equation is $y=\frac{1}{4} +2$

For more information on how to get the equation of a line when given two points, see here:

brainly.com/question/986503

7 0

2 years ago

*High School problem not Middle School

devlian [24]

Should be c ? can you send me a picture please ? and it’s dice .

4 0

3 years ago

Among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a ma

scoundrel [369]

Answer:

Step-by-step explanation:

Given that among 500 freshmen pursuing a business degree at a university, 315 are enrolled in an economics course, 213 are enrolled in a mathematics course, and 123 are enrolled in both an economics and a mathematics course.

From the above we find that

a) either economics of Math course is

$315+213-123 =405$

Out of 500 students 405 have taken either Math or Economics

Hence

c) student who have taken neither = $500-405 =95$

Exactly one course is either math or economics - both

= $405-123 = 282$

3 0

3 years ago

Classify the following triangle. Check all that apply. A. Scalene B. Right C. Acute D. Equilateral E. Obtuse F. Isosceles

Sati [7]

Answer:

E and F

Step-by-step explanation:

The triangle given has two equal sides, and an obtuse angle that is more than 90° that measures 120°. The other two angles are of equal measure since their opposite sides are of the same length. Thus, this implies that it is an isosceles triangle because it has two equal base angles and two equal sides. It also implies that it is an obtuse triangle since one of it's angles is more than 90°.

3 0

3 years ago

Read 2 more answers

Rewrite the polynomial in the form ax^2+bx+c and then identify the values of a, b, and c. 6+9x^2

Ulleksa [173]

Answer:

see below

Step-by-step explanation:

6+9x^2

Rewriting in decreasing powers of x

9x^2 +0x + 6

ax^2+bx+c

a = 9

b =0

c = 6

5 0

3 years ago