What is the difference between the points (-3,4) and (-3,-5)?
1 answer:
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Answer:
x-intercept ⇨ -1/3
y-intercept ⇨ 1
Step-by-step explanation:
⟺ Finding the x-intercept, substitute y = 0
Move 1 to subtract the another side.
Then move 3 to divide -1, leaving only x as a subject since we want to find the x-intercept.
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⟺ Finding the y-intercept, substitute x = 0
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Tips:
Here's the tips about finding the intercepts of the graph.
⟺ For x-intercept, It's like solving an equation to find the x-term.
⟺ For y-intercept, It's like using the constant to answer.
As for y = mx+b where m = slope and b = y-intercept.
For a linear function, It's not necessary to substitute x = 0 just to find y-intercept as we can answer the constant as our y-intercept.
Answer: Second Option
Step-by-step explanation:
The exponential growth functions have the following form:
Where a is the main coefficient, b is the base and x is the exponent.
For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function
Among the options given, the only function whose base is greater than 1 is the second option:
Given:
The system of equations is
To find:
The graph of the given system of equations and its solution.
Solution:
The table of values for is
x y
-4 7
-2 2
0 -3
Plot these points and connect them by a straight line.
The table of values for is
x y
-4 0
-2 2
0 4
Plot these points and connect them by a straight line.
From the below graph it is clear that the lines intersect each other at point (-2,2).
Therefore, the solution of given system of equation is (-2,2).
