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2 years ago

How are the slopes when the lines are parallel in a square ?

1 answer:

4 0

The slope of parallel lines is equal and the slope of perpendicular lines is a negative multiplicative inverse of each other.

<h3>What is the standard equation of a line?</h3>

The standard equation of a line is given by

y = mx+c

Here m is the slope and c is the y-intercept

The slope can be determined by

m = (y₂ -y₁)/(x₂ -x₁)

A square is a polygon with four sides, the opposite sides are parallel and all the sides are equal, all the angles have an equal measure of 90 degrees.

Two lines are parallel to each other when they are at a fixed distance always and never intersect with each other.

The slope of the lines parallel to each other is equal.

Two lines are said to be perpendicular when they intersect at 90 degrees.

The slope of two perpendicular lines has a product of -1.

To known more about the standard equation of a line

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You might be interested in

What are the pattern conbination between these number 18 48 88 128 178 38 68

valentina_108 [34]

18+30=48
48+40=88
88+40=128
128+50=178

Thats all i found so far in the pattern
30,40,40,50
then it drops
by 140 then adds by 30..

I dont know how else to explain it

7 0

2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Kitty [74]

Answer: (-2, 5) and (2, -3)

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

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

Graph the parabola y = x² - 2x - 3 by first plotting the vertex and then plotting the y-intercept (or some other point):

$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$

vertex = (1, -4) 2nd point (y-intercept) = (0, -3)

<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)

8 0

3 years ago

Find the x-intercept and y-intercept of the graph of of the equation: y=8-3x

soldier1979 [14.2K]

Answer:

x-intercept: x = 8/3

y-intercept: y = 8

Step-by-step explanation:

x-intercept

$y = 8 - 3x$

$0 = 8 - 3x$

$3x = 8$

$x = \frac{8}{3}$

••••

y-intercept

$y = 8 - 3x$

$y = 8 - 3 \times 0$

$y = 8$

3 0

2 years ago

Question 2.2. Which ordered pairs make the inequality true?

taurus [48]

<span>Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.

Question 3.3. What is the slope of the line represented by the equation?

There is no equation

Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?

Convert to slope-intercept form:

6x - 3y = 4

Subtract 6x to both sides:

-3y = -6x + 4

Divide -3 to both sides:

y = -6/-3x + 4/-3

Simplify:

y = 2x - 4/3

Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.

Question 5.5. What is the simplified form of the expression?

15y - 3(4y + 10)

Distribute -3 into the parenthesis:

15y - 12y - 30

Combine like terms:

3y - 30

8 0

2 years ago

What is the area of the donut?

mrs_skeptik [129]

6 x 4=24 so the area of the donut 24 which is the answer to the question

8 0

2 years ago