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3 years ago

How to find the slope of a line on a coordinate plane?

1 answer:

5 0

The slope of a line is the ratio of vertical travel to horizontal travel, whether on a coordinate plane or in the real world. It can be positive or negative.

On an x-y plane, to find the slope of a line you would identify the coordiates of two points on the line, then form the ratio
slope = (difference of y-coordinates)/(difference of corresponding x-coordinates)

Given two points (x1, y1) and (x2, y2), the slope is computed as
slope = (y2 - y1)/(x2 - x1)

The points can be used in the computation in either order and the result will be the same. It is often convenient to have x2 > x1, so the denominator is positive. This can reduce errors in the arithmetic, but it is not required.

If the line is a vertical line, so that all x-values are the same, the slope is said to be "undefined."

On a conventionally drawn coordinate plane, a line with positive slope will go up to the right (/); a line with negative slope will go down to the right (\).

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Use two points to enter an equation for the function. Give your answer in the form a(b)^n. In the event that a = 1, give your an

levacccp [35]

Answer:

$m(n) = 24 (0.75)^n$

Step-by-step explanation:

1) The two points are:

a) On the first swing she swings forward by 18 degrees: (1, 18)

b) On the second swing she only comes 13.5 degrees forward: (2,13.5)

2) The general equation using the form given is:

$m(n)=A(B)^n$

3) Substitute the two points:

$18=A(B)\\ \\ 13.5=A(B)^2$

4) Divide the second equation by the first one:

⇒ 13.5 / 18 = B

⇒ B = 0.75

5) Substitue B = 0.75 into the first equation:

18 = A (0.75) ⇒ A = 18 / 0.75 = 24

Hence, the equation is:

$m(n) = 24 (0.75)^n$

5 0

3 years ago

Wich one is bigger 3/3 or 7/8

MrRissso [65]

3/3=1 and 7/8 is < 1 so 3/3 is bigger

4 0

3 years ago

The price of a shoes as reduced from 60 to 45. by what percentage was the price of the shoes reduced?

sweet-ann [11.9K]

45 is 75% of 60 but if you’re looking for the difference subtract 75 from 100, so 25%

8 0

3 years ago

Otto used 6 cups of whole wheat flour and x cups of white flour in the recipe. What is the equation that can be used to find the

nadezda [96]

Y = 6 + x

We can use this equation to find the total amount of flour that Otto used in the recipe.

The constraints on 'x' and 'y' are that they must both be positive, because we cannot have a negative amount of flour.

And a restraint something like 50 cups of flour total because one person making a recipe won't use that many cups of flour.

5 0

4 years ago

Plzzzzzzzzzzz Helpppppppppppppp

s2008m [1.1K]

Answer:

y = -2x - 6

Step-by-step explanation:

Find the gradient: y difference/x difference

0 - (-6) / -3 - 0

6 / -3

= -2

y = mx + c

-6 = -2 × 0 + c

-6 = c

= C = -6

6 0

3 years ago