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Karolina [17]
3 years ago
14

What is point slope form for (4,5) and (2,-6)

Mathematics
2 answers:
nordsb [41]3 years ago
8 0

Answer: 11/2

Its simple math ig

Dennis_Churaev [7]3 years ago
4 0
Given points (4,5) and (2, -6), we can determine the point slope form by starting with the slope.

To solve for the slope, we must use the formula:

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

Let (x1,y1) = (4,5)
(x2,y2) = (2,-6)

Plug these values into the formula:

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

m = (-6 — 5)/(2 — 4)

m = -11/-2

m = 11/2

Therefore, slope (m) = 11/2

Next, we’ll use the slope and point (4,6) as (x1,y1) for the following point-slope form:

y — y1 = m(x — x1)

y — 5 = 11/2(x — 4)

Therefore, our point-slope form is:

y — 5 = 11/2(x — 4)


Please mark my answers as the Brainliest if you find my explanations helpful :)
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2a. Determine the equation of the line connecting the points (0, -1) and (2, 3) *
Sauron [17]
First create the equation y=Mx+ B

B is the y intercept so when y = 0, B = -1.

Now we have y=Mx - 1

The slope is M. We can calculate this by using the formula M = (y2 -y1) / (x2 - x1)

Use the points (0, -1) and (2,3) for these values. So y2 = 3, y1 = -1, x2 = 2, x1 = 0

Plug them into the equation and solve

M = (3 + 1) / (2 - 0)
M = 4/2 = 2

Now we have the equation y = 2x - 1

Next to figure out if the points given are on the line you take the values and plug them into your equation like so: 4 = 2(-2) - 1

2(-2) - 1 does not equal 4 so this point does not fall on this line. Follow this same procedure for the next point given.
8 0
2 years ago
2. The acute angle below has a degree measurement that is one fifth of the degree measure of the obtuse
Ksenya-84 [330]

Answer:

Acute angle = 30°

Obtuse angle = 150°

Step-by-step explanation:

Method 1:

Let x represent the measurement of the obtuse angle

Obtuse angle = x

Acute angle = ⅕ of x = x/5

Thus:

x + x/5 = 180° (angels on a straight line)

Solve for x

(5x + x)/5 = 180

Multiply both sides by 5

5x + x = 180 × 5

6x = 900

x = 900/6

x = 150

Obtuse angle = 150°

Acute angle = x/5 = 150/5 = 30°

Method 2:

Since acute angle = ⅕ of the obtuse angle, therefore,

Obtuse angle = 5*acute angle

Let acute angle = x

Obtuse angle = 5x

Equation:

5x + x = 180° (angles on a straight line)

Solve for x

6x = 180

x = 180/6

x = 30

Acute angle = x = 30°

Obtuse angle = 5x = 5*30 = 150°

8 0
3 years ago
A_____plot is used to display and summarize data using quartiles and median
NARA [144]

Answer:

BOX

Step-by-step explanation:

5 0
3 years ago
One end of a ramp is raised to the back of a truck 5 feet above the ground. 1 point
sveta [45]

Answer:

38.7°

Step-by-step explanation:

You are basically looking at a triangle with a 90° angle (check picture).

Since we are looking for the ramp's angle and are given the length of the opposite and the hypothenuse, we have to solve the following equation:

sin (\alpha) = opposite / hypothenuse= 5 ft/8ft

which is equivalent to

\alpha = sin^{-1}(5/8)\approx 38.7\deg

6 0
2 years ago
A map is drawn with a scale of 1/2 inch equal to 5 actual miles.if the map distance between two cities is 8 inch's,what is the r
Sunny_sXe [5.5K]

Answer:

The real distance would be 16

Step-by-step explanation:

If the scale is 1/2, that means each distance on the map is half of what the real distance is. So 8 x 2 =16.

7 0
2 years ago
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