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3 years ago

How does the y-intercept appear in these three representations: table,equation,and graph?

2 answers:

6 0

In a table it's EXAMPLE: Cars/Drivers the cars is x and the drivers is y(y-intercept). In an equation, EXAMPLE using y=mx+b the b is the y-int., and in a graph it is (x,y) the y being the y-int.

Vikentia [17]3 years ago

6 0

Answer:

Table: The y coordinate value corresponding to x = 0

Equation: c is the y-intercept.

Graph: curve passes the y- axis

Step-by-step explanation:

We have to find how does the y-intercept appear in these three representations: table,equation,and graph.

Y-intercept:

The y-intercept of this line is the value of y at the point where the line crosses the y axis.
Thus, y-intercept is the value of y when x is 0.

In table:

The table shows the x coordinate and the corresponding y coordinates. The y coordinate value corresponding to x = 0 in the table is the y intercept.

In equation:

The slope intercept form of straight line is given by:

$y = mx + c$

where m is the slope of the line and c is the y-intercept.

In graph:

The point on the graph where the curve passes the y- axis that is the x value is zero.

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A line segment has (x1, y1) as one endpoint and (xm, ym) as its midpoint. Find the other endpoint (x2, y2) of the line segment i

Levart [38]

Answer: (a) ( $x_{2},y_{2}$ ) = (3,2)

(b) ( $x_{2},y_{2}$ ) = (19,-7)

Step-by-step explanation: Midpoint of a segment is halfway between 2 endpoints. It is calculated using the formulas:

$x_{m}=\frac{x_{1}+x_{2}}{2}$

$y_{m}=\frac{y_{1}+y_{2}}{2}$

Isolating $x_{2}$ :

$2x_{m}=x_{1}+x_{2}$

$x_{2}=2x_{m}-x_{1}$

And $y_{2}$ :

$2y_{m}=y_{1}+y_{2}$

$y_{2}=2y_{m}-y_{1}$

(a) Replacing values and calculating $x_{2}$ :

$x_{2}=(2*2)-1$

$x_{2}=3$

Calculating $y_{2}$ :

$y_{2}=[2*(-1)]-(-4)$

$y_{2}=2$

$(x_{2},y_{2})=(3,2)$

(b) $x_{2}=(2*5)-(-9)$

$x_{2}=19$

$y_{2}=(2*6)-19$

$y_{2}$ = -7

$(x_{2},y_{2})=(19,-7)$

8 0

3 years ago

Read 2 more answers

Consider a triangle formed by connecting the three points: (0 0 0), (1 0 0), (1 1 1). a. Find the vector which is perpendicular

Sidana [21]

Answer:

=k−j or (0 -1 1)

Step-by-step explanation:

The Vector or Outer Product two vectors, say →x&→y, is

denoted by →x×→y, is a perpendicular vector to the plane containing them.

The given pts. A (0 0 0), B (1 0 0), C (1 1 1) lie in a

plane ABC.

As suchType equation here., the vectors (→(AB ) )and (→AC ) are members, ∈ of the plane ABC

That is □(→(AB )×(→AC)) to the plane ABC

(→(AB ) )=(1-0,0-0,0-0)=(1,0,0)

(→(AC ) )=(1-0,1-0,1-0)=(1,1,1)

(→(AB )×(→AC= (0i -j k)

=k−j

Which is in the positive Z direction

3 0

3 years ago

The selling price of a refrigerator, is $ 796.40 . If the markup is 10 % of the dealer's cost, what is the dealer's cost of

8_murik_8 [283]

The final price (what it is selling for) is $796.40

The markup is 10% of the original price (the dealer's cost) , meaning that it is 10% more.

We need to find the original price.

We write this as an equation

The original price *110% = final price

This is because the original price is itself (100%) added with 10%

Plug in the known final price

Original Price * 110% = 796.40

Convert 110% to a decimal because the other numbers- such as the final price are also decimal numbers.

Convert 110% to a decimal by moving the decimal point up 2 spaces ( basically dividing it by 100)

110% = 1.1

So it is now

Original price *1.1 = 796.40

Divide both sides by 1.1 to isolate our unknown, the original price

Original price = $724

5 0

3 years ago

Pleasee helppp it’s due todayyy

slava [35]

Answer:

88 is a solution to 1/8 x =11, since a solution means that x is equal to that number, so in this scenario, x=88. When substituted(88*0.125), the same answer, 11, is obtained.

Step-by-step explanation:

8 0

3 years ago

Which are factors of x2 – 4x – 5? Select two options. (x – 5) (x – 4) (x – 2) (x 1) (x 5).

Greeley [361]

Answer:

(x - 5) (x + 1)

Step-by-step explanation:

x² - 4x - 5

= x² + x - 5x - 5

= x(x + 1) - 5(x + 1)

= (x - 5) (x + 1)

5 0

2 years ago

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