Given:
The table of values is
x y
-4 2
-3 5
-2 8
-1 11
To find:
The slope of the line that contains these points.
Solution:
From the given table consider any two point.
Let the line passes through the points (-4,2) and (-3,5). So, the equation of the line is
Using distributive property, we get
Therefore, the required equation of line is .
Answer:
I think it -1.50 to 10.58
Step-by-step explanation:
Answer:45cm³
Step-by-step explanation:
Volume=l×b×h
5×3×3=45
The equation of this line is given by:
y = -1/2x + 1.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Given two points, the slope is given by <u>change in y divided by change in x</u>. In this problem, we have points (0,1) and (2,0), hence:
m = (1 - 0)/(0 - 2) = -1/2.
Point (0,1) also means that the y-intercept is of b = 1, hence the equation of this line is given by:
y = -1/2x + 1.
More can be learned about linear functions at brainly.com/question/24808124
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5a. a° = 128°
5b. b° = 1.3°
5c. c° = 341°
<h3>How to determine the unknown sides</h3>
5a
a° = 128°
This is because parallel angles are equal and angles a° and 128° are parallel to each other
5b
Angles (4b-10)° and (2b - 2)° are equal.
This is because alternate angles are equal and they are alternate to each other
To find b , equate both angles
4b - 10 = 2b - 2
collect like terms
4b + 2b = -2 + 10
6b = 8
Make 'b' subject of formula
b = 8/6
b = 1.3°
5c.
c° is at angle at a point.
19° is alternate to the other part of the point
We have, c° + 19° = 360° (angle at a point)
c° + 19° = 360°
Make 'c' subject of formula
c° = 360° - 19°
c° = 341°
Thus, the unknown angles are given as a = 128°, b = 1.3°, c = 341°
Learn more about interior angles here:
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