All the equations can be graphed and solved by graphing. They can also be solved using various other methods
Given:
The table of values is:
x : -7 -5 -3 -1
y : 5 9 13 17
To find:
Whether the given data is linear and then find the equation.
Solution:
The given data is linear if the slope and rate of change is constant.
Slope formula:
Using the slope formula. we get
Since the rate of change is constant, i.e., 2, therefore the given data is linear.
The slope of a linear equation is 2 and it passes through the point (-7,5). So, the equation of the line is:
Adding 5 on both sides, we get
Therefore, the equation for the given data is .
Answer:
The equation of Line is y = - 8x + 7
Step-by-step explanation:
Given as :
The slop of line is - 8
And The y intercept is 7
As the equation of line is y = mx + c
For y intercept , x = 0
So, With y intercept and slop ,
7 = (-8)× (0)+ c
Or, c = 7
So the equation of line is
y = mx + c
I.e y = ( - 8 ) x + 7
Hence The equation of Line is y = - 8x + 7 Answer
Answer: 5,499,187,200
<u>Step-by-step explanation:</u>
A coin is tossed 5 times.
There are two options (heads or tails) so the possible outcomes are: 2⁵
A six-sided die is rolled 4 times.
There are six options so the possible outcomes are: 6⁴
A group of 3 cards are drawn (without replacement).
The first outcome has 52 options, the second has 51 options, and the third has 50 options: 52 x 51 x 50
Now if we want the coin AND the die AND the cards, we have to multiply all of their possible outcomes:
2⁵ x 6⁴ x 52 x 51 x 50
= 32 x 1296 x 132,600
= 5,499,187,200
