Answer:
Point (4,7) completely satisfies the equation and is a solution to the equation.
Step-by-step explanation:
Given:
Equation:
To check if the point (4,7) is a solution to the given equation.
Solution:
The solution of an equation is given as which completely satisfies the equation.
To check if the point (4,7) is a solution to the given equation, we will plugin and
in the given equation and see if it satisfies it or not.
Plugging in point (4,7) in the equation:
Simplifying.
The above equation is always true, and hence point (4,7) completely satisfies the equation and is a solution to the equation.
Answer:
The Explanation is below with attachment.
Step-by-step explanation:
For the line y = 2x - 5
For Drawing a line on a graph we require minimum two points, but we will plot three points.
Here you can take any random value for X so that the corresponding Y value you will get.
So, put x = 0, in the equation we will get
Similarly,
Put x = 1 we will get,
Again,
Put x = -1 we will get,
Now we have three points say point A (0,-5)), point B (1.-3) and point C (-1,-7)
See the graph below
Answer:
The direct variation equation can be given as:
Step-by-step explanation:
Given:
At a summer camp there are 6 campers under one counselor.
To find the direct variation equation for the number of campers in terms of number of counselor.
Solution:
Number of campers
Number of counselors
We have ∝
The direct variation equation can be written as:
where is the direct variation constant.
There are 6 campers under one counselor. Using this statement we can find value of
Given: when then
We have,
∴
Thus, the direct variation equation can be given as:
We can find the points using the equation to plot.
0 0
1 6
2 12
The graph is sown below.
