All categories

3 years ago

What do the y intercept and the slope mean in the context of the example problem y=-4x+20

Mathematics

1 answer:

PtichkaEL [24]3 years ago

3 0

Answer:

Therefore,

$Slope = -4\\\\y-intercept=20$

Step-by-step explanation:

Intercepts:

The line which intersect on x-axis and y-axis are called intercepts.

There are two intercepts:

x-intercept: The line which intersect at x-axis. So when the line intersect at x-axis Y coordinate is zero.

y-intercept: The line which intersect at y-axis. So when the line intersect at y-axis X coordinate is zero.

Given:

$y=-4x+20$

We have General Equation for POINT-SLOPE form for a line is given as

$y=mx+c$

where,

m = Slope of Line

c = y-intercept

On Comparing the given Equation with Point-Slope form we have

$m = Slope = -4\\\\c=20$

Therefore,

$Slope = -4\\\\y-intercept=20$

You might be interested in

A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of ex

Juli2301 [7.4K]

To find an average you take the numbers to be averaged and add them together then You take the number and divide it by the number of numbers, in this case 4, and that gives you the average.
on this problem you want to do the opposite. you know the average she wants, an 87, so you multiply it by 4. 87*4=348. then you add the three numbers you have (88,81 and 87) and you get 256.
then you subtract 256 from 348 and you get 92. 92 is your answer to check just add 87+81+88+92=348
348/4=87
87 was the average she wanted.
Hope this helped! good luck :)

4 0

3 years ago

Hey:) can you please help me posted picture of question

mr Goodwill [35]

The top row contains the product of $x^{2}$ with each term of the expressions $x^{6}+ x^{4}+ x^{2}$ and bottom row contains the product of -1 with each term of expression $x^{6}+ x^{4}+ x^{2}$ .

The final result will be the sum of terms of both rows as shown below:

$( x^{6}+ x^{4} + x^{2} )( x^{2} -1) \\ \\ 
= x^{2} ( x^{6}+ x^{4} + x^{2} )-1( x^{6}+ x^{4} + x^{2} ) \\ \\ 
= x^{8}+ x^{6}+ x^{4}- x^{6}- x^{4}- x^{2} \\ \\ 
= x^{8}- x^{2}$

So the correct answer is option D

8 0

3 years ago

4:3 12 kittens 19 adults

Sloan [31]

Answer:

1:3.5

sorry if I'm wrong I really know it but still serve them wrong

Step-by-step explanation:

5 0

3 years ago

Note that WXYZ has vertices W(-1, 2), X(-5, 7), y(-1, -2), and Z (3, -7).

svp [43]

a. Slope of WZ = -2.25; Slope of WX = 5

b. WZ = √97; WX = √41

c. WXYZ is not a <em>rectangle, rhombus, nor a square</em>. We can conclude that: <em>D. WXYZ is none of these</em>.

<h3>Slope of a Segment</h3>

Slope = change in y/change in x

Given:

W(-1, 2), X(-5, 7), Y(-1, -2), and Z (3, -7)

a. Slope of WZ and slope of WX:

Slope of WZ = (-7 - 2)/(3 -(-1)) = -2.25

Slope of WX = (7 - 2)/(-1 -(-1)) = 5

b. Use distance formula, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ , to find WZ and WX:

$WZ = \sqrt{(3 - (-1))^2 + (-7 - 2)^2}\\\\\mathbf{WZ = \sqrt{97} }$

$WX = \sqrt{(-5 -(-1))^2 + (7 - 2)^2}\\\\\mathbf{WX = \sqrt{41} }$

c. The quadrilateral WXYZ have adjacent sides that are not perpendicular to each other and have different slopes and different lengths, so therefore, WXYZ is not a rectangle, rhombus, nor a square. We can conclude that: <em>D. WXYZ is none of these</em>.

Learn more about slopes on:

brainly.com/question/3493733

5 0

2 years ago

How do I solve this?

Ivenika [448]

$\overline{XS}\cong\overline{YT}\Rightarrow 3m+7=4.2m+5\ \ \ |-7\\\\3m=4.2m-2\ \ \ \ |-4.2m\\\\-1.2m=-2\ \ \ \ |:(-1.2)\\\\m=\dfrac{2}{1.2}\\\\m=\dfrac{20}{12}\\\\m=\dfrac{5}{3}\to m=1\dfrac{2}{3}$

$\overline{YS}\cong\overline{XT}\Rightarrow3\dfrac{1}{2}r+2=2r+5\ \ \ \ |-2\\\\3\dfrac{1}{2}r=2r+3\ \ \ \ |-2r\\\\1\dfrac{1}{2}r=3\ \ \ |\cdot2\\\\3r=6\ \ \ \ |:3\\\\r=2$

7 0

3 years ago