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3 years ago

What is the rate of Change of the line through (1,-3) and (0,-1)

Mathematics

1 answer:

andreyandreev [35.5K]3 years ago

7 0

Answer:

$m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (1, -3)

Point (0, -1)

Step 2: Find slope m

Substitute in points into the slope formula to find rate of change

Substitute [SF]: $m=\frac{-1+3}{0-1}$
Add/Subtract: $m=\frac{2}{-1}$
Divide: $m=-2$

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Kipish [7]

Answer:

Option 4 is correct. The length of PR is 6.4 units.

Step-by-step explanation:

From the given figure it is noticed that the triangle PQR and triangle MQR.

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$hypotenuse^2=base^2+perpendicular^2$

Use pythagoras formula for triangle PQM.

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$PM^2=100$

$PM=10$

The value of PM is 10. The length of PR is x, so the length of MR is (10-x).

Use pythagoras formula for triangle PQR.

$PQ^2=QR^2+PR^2$

$(8)^2=QR^2+x^2$

$64-x^2=QR^2$ .....(1)

Use pythagoras formula for triangle MQR.

$MQ^2=QR^2+MR^2$

$(6)^2=QR^2+(10-x)^2$

$36=QR^2+x^2-20x+100$

$36-x^2+20x-100=QR^2$ .... (2)

From equation (1) and (2) we get

$36-x^2+20x-100=64-x^2$

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Answer:

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Step-by-step explanation:

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Putting values of x

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