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3 years ago

Use the point-slope equation to identify the slope and the coordinates of a point

Mathematics

2 answers:

ioda3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = $\frac{1}{2}$ (x - 1) ← is in point- slope form

with slope m = $\frac{1}{2}$

and (a, b) = (1, 4 ) ← point on the line

bagirrra123 [75]3 years ago

7 0

Answer:

The slope of the line is m = 1/2

A point on the line is (1, 4)

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The formula is 1/3*height*area of base.

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3 years ago

A hot air balloon went from an elevation of 4,064 feet to an elevation of 3,322 feet in 28 minutes. What

ELEN [110]

Answer:

<em>The air balloon descends 26.5 feet per minute</em>

Step-by-step explanation:

<u>Rate of Change</u>

The rate of change is a measure that compares two quantities, usually to know how one variable changes in time.

The hot air balloon was 4,064 feet high and, 28 minutes later, it went to 3,322 feet. We can calculate the rate of descent R by dividing the change of elevation over time:

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3 years ago

What is the equation of the line that is parallel to y-3x=2 and that passes through (6,1)?

Rudik [331]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they need to have the same slope.

y - 3x = 2 Add 3x on both sides to change the equation to slope-intercept form

y - 3x + 3x = 2 + 3x

y = 3x + 2 The slope is 3, so the parallel line's slope is also 3.

Now that you know the slope, substitute/plug it into the equation

y = mx + b

y = 3x + b To find "b", plug in the point (6, 1) into the equation, then isolate/get the variable "b" by itself

1 = 3(6) + b

1 = 18 + b Subtract 18 on both sides to get "b" by itself

1 - 18 = 18 - 18 + b

-17 = b

y = 3x - 17 Your answer is the 1st option

8 0

3 years ago

Read 2 more answers

There are infinitely How many pairs of numbers of which the sum of their cube roots is zero give two of these pairs

ivanzaharov [21]

Answer:

Infinite pairs of numbers

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Step-by-step explanation:

Let x³ and y³ be any two real numbers. If the sum of their cube roots is zero, then the following must be true:

$\sqrt[3]{x^3}+ \sqrt[3]{y^3}=0\\ \sqrt[3]{x^3}=- \sqrt[3]{y^3}\\x=-y$

Therefore, any pair of numbers with same absolute value but different signs fit the description, which means that there are infinite pairs of possible numbers.

Examples: 1 and -1; 8 and -8; 27 and -27.

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