Answer:
Please check the explanation.
Step-by-step explanation:
We know that when a consistent system has infinite solutions, then the graphs of the equations are exactly the same. In other words, these equations are called dependent equations.
All points of dependent equations share the same slope and same y-intercept.
For example,
6x-2y = 18
9x-3y=27
represent the dependent equations.
Writing both equations in slope-intercept form
y=mx+c
where m is the slope and c is the y-intercept
Now
6x-2y=18
2y = 6x-18
Divide both sides by 2
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
now
9x-3y=27
3y = 9x-27
Divide both sides by 3
y = 3x - 9
Thus, the slope = 3 and y-intercept = b = -9
Therefore, both equations have the same slope and y-intercept. Their graphs are the same. Hence, they are called dependent equations.
Answer
100%
Step-by-step explanation:
Answer: x = 3. the length of side ST is 14.
Step-by-step explanation:
Since both sides are equal, we can use the equation 3x + 5 = 5x - 1.
To start the problem, we subtract 3x from each side which makes our equation 5 = 2x - 1.
The next step would be to simplify the equation by adding 1 to each side which makes our equation 6 = 2x.
We then need to simplify the equation to x = 3.
This means the answer to 9 is x = 3.
For the next problem, since we already know the value of x, we substitute its value which in this case would be 3. This leaves us with an equation of 9 + 5, which equals 14.
This means the length of side ST is 14.
Answer:
Option a) A line joining points, does not describe the slope.
Step-by-step explanation:
Slope of a line:
- Slope is calculated by finding the ratio of the vertical change to the horizontal change between two distinct points on a line.
- It is defined as the change in the y coordinate divided by the corresponding change in the x coordinate, between two distinct points on the line.
- Slope of a line is a number that describes both the direction and the steepness of the line.
- Slope gives the constant rate of change or a measure of change between two points.
Hence, from the given options slope is not a line segment joining two points but it is the change in the line segment between two points.
Hence, option a) A line joining points, does not describe the slope.
