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soldi70 [24.7K]
2 years ago
9

If you are given the graph of a line in an xyplane and its corresponding equation, you can be sure that the coordinates of every

point on that line will satisfy the equation.
Mathematics
1 answer:
topjm [15]2 years ago
8 0

If the graph of a line  in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation is a true statement.

<h3>What is the equation for a straight line ?</h3>

An equation of a straight line is given by

y = mx+c

where m is the slope and c is the intercept on y axis.

If the graph of a line  in an x y plane and its corresponding equation is given then , all the coordinates of every point on that line will satisfy the equation .

Even for a scatter plot the line of the best fit is drawn and every point on the line will satisfy the equation.

To know more about Equation of Straight Line

brainly.com/question/21627259

#SPJ1

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Which equation represents the data in
klasskru [66]

Answer:

y = 2x - 4

Step-by-step explanation:

The equations are put in slope intercept form

Slope intercept form: y = mx + b

Where m = slope and b = y intersect

So in order to find the equation of the data represented by the table we will have to find the slope and y intercept

Let's begin!

First let's find the slope

We can find the slope by using the slope formula

m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table

The points chosen may vary but I have chosen the points (0,-4) and (1,-2)

Now that we have chosen the points we will use to find the slope let's define the variables

remember coordinates are written like this: (x,y)

The x value of the second coordinate is 1 so x2 = 1

The x value of the first coordinate is 0

So x1 = 0

The y value of the second coordinate is -2 so y2 = -2

The y value of the first coordinate is -4

So y1 = -4

Now that we have defined each variable let's plug in the values into the formula

Formula: m = (y2 - y1) / (x2 - x1)

Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4

Substitute values

m = (-2 - (-4) / ( 1 - 0 )

Evaluate

The negative signs cancel out on top and it changes to +4

m = (-2 + 4)/(1-0)

Add top values

m = 2/(1-0)

Subtract bottom numbers

m = 2/1

Simplify fraction

m = 2

So we can conclude that the slope (m) = 2

Now let's find the y intercept or "b"

The y intercept is the value of y when x = 0

If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4

Now that we have found everything let's find the equation of the data represented by the table

The equation is in slope intercept form

y = mx + b

Define variables

m = 2 and b = -4

Substitute values

y = 2x - 4

The equation is y = 2x - 4

4 0
3 years ago
true or false in deductive thinking you start with a given set of rules and conditions and determine what must be true as a cons
soldier1979 [14.2K]
The answer for your question is true.
3 0
3 years ago
Read 2 more answers
I need math help. I don’t understand the question.
makkiz [27]

Answer:

A.) 132.3 mm Hg

B.) 49 years old

Step-by-step explanation:

P= 0.006y^{2} -0.01y+119

P = blood pressure

y = age in years

A.) Solution

To find: P

Given: y = 48

P= 0.006y^{2} -0.01y+119

P = 0.006 x 48 x 48 - 0.01 x 48 + 119

P = 0.006 x 2,304 - 0.48 + 119

P = 13.824 - 0.48 + 119

P = 132.344 ⇒ 132.3

B.) Solution

To find: y

Given: P = 132.92

P= 0.006y^{2} -0.01y+119

132.92= 0.006y^{2} -0.01y+119

0.006y^{2} -0.01y-13.92

.......................................................

Answer: 49 years old

7 0
2 years ago
Write the following linear equation in slope intercept form. y-5=-2(x+3)
swat32

Answer:

y = -2x -1

Step-by-step explanation:

y-5=-2(x+3)

Distribute -2 × x and -2 × 3

y - 5 = -2x -6

y + 5 = -2x -6

y = -2x - 1

4 0
2 years ago
Carl runs 100 meters in 10 seconds. Anthony runs 200 meters in 19.6 seconds. Who has
Eddi Din [679]

Answer:carl

Step-by-step explanation:

8 0
3 years ago
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