Answer:
Step-by-step explanation:
Use the drop-down menus to complete each equation so the statement about its solution is true.
2 answers:
Answer:
No solution:
One solution:
Infinitely many solution:
Step-by-step explanation:
The given equation is
It can be written as
Here slope is 8 and y-intercept is 9.
No solution: For all values of x, LHS≠RHS. It means the lines have same slope but different y-intercept.
One solution: For unique value of x, LHS=RHS. It means the lines have different slopes.
Infinitely many solution: For all values of x, LHS=RHS. It means the lines have same slope and y-intercept.
Note: There are more possible equations for no solutions and one solution.
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The y values from:
1. ₋6
2. ₋3
3. 0
4. 3
Given the x values and y value as y = 3x
1. when x = ₋2 then y = 3x
y = 3(₋2)
y = ₋6
2. when x = ₋1 then y = 3x
y = 3(₋1)
y = ₋3
3. when x = 0 then y = 3x
y = 3(0)
y = 0
4. when x = 1 then y = 3x
y = 3(1)
y = 3
therefore we get the points as (₋2 , ₋6) (₋1 , ₋3) (0,0) (1 , 3).The graph is pltted and attached.
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For this case we have that by definition, the slope of a line is given by:
Where:
and
are two points through which the line passes.
According to the image we have:
Substituting we have:
Thus, the slope of the line is:
Answer: