Mathematics, 26.06.2019 13:00 janeou17xn

Which equation satisfies all three pairs of a and b values listed in the table? a b 0 -10 1 -7 2 -4

Answers: 2

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Answer from: jacckiie4069

y = 3x -10

Step-by-step explanation:

The function seems to increase at a constant rate of 3 units. This means that the equation that satisfies these points could be that of a straight line.

We use the first two points to find the slope of the line.

(0, -10)

(1, -7)

(2, -4)

The equation of a line is:

y = mx + b

Where m is the slope of the line and b is the cutoff point with the y axis.

To find the slope of a line we use the following equation:

$m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-7 - (- 10)}{1-0}$

m = 3

So:

y = 3x + b

The cut point (b) is found by replacing in the previous equation, any of the three points provided and clearing b.

-7 = 3(1) + b

b = -10

Now we can write the equation of the line sought.

y = 3x -10

You can verify that the three points provided belong to this equation.

Answer from: brooke012002

$y=3x-10\\$

Step-by-step explanation:

An equation that satisfies all the values of a and b as listed is equation of line that passes through points A (0,-10), B (1,-7) and C (2,-4).

To understand this, first of all find points on a graph and connect the points. The result is a straight line passing through A, B and C.

The equation of straight line is given by:

$y= mx +b\\$

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

The slope of a line is given as :

$m= dy / dx\\$ where dy is change in y and dx is change in x.

To find slope consider any two points from line. Let us consider A and C for this example. A(0,-10) is starting point of line and C (2,-4) is ending point of line ( we can also consider C as start point. It simply depends on choice).

Therefore, m= -4 -(-10) / 2-0 = -4+10/2= 6/2=3

Slope m= 3

On substituting value of m into equation.

$y= 3x +b\\$

To find b, take any point A, B or C and simply put the value of y and x into the equation. We do this as A , B and C are simply solutions of the equation and thus can be used.

Taking C and substituting values:

-4= 3*2 + b

b=-10

The resultant equation is as follows:

$y= 3x -10\\$

Answer from: Quest

10/60

step-by-step explanation:

if you divide 10 by 60 the answer is 0.166666 while if you divide or solve the other problems it equals 0.6

Answer from: Quest

6x = 48

i hope this . 6 cards each and a total of $48. dvide each side by 6 and you will have your answer.

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Which equation satisfies all three pairs of a and b values listed in the table? a b 0 -10 1 -7 2 -4...

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