Find the slope of the line. Write in simplest form Show your work
1 answer:
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The domain of the given inequality is y>1.
<h3>What is Inequality?</h3>
An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Here, given inequality:
y <
Related equation:
y =
The equation defined as,
x+3 > 0
x > -3
In the given inequality, the sign of inequality is <, it means the points on the boundary line are not included in the solution set. Thus, -3 is not included in the domain.
So, the domain of the given inequality is x>-3.
We know that,
adding 1 on both sides, we get
y ≥ 1
The points on the boundary line are not included in the solution set. Thus, 1 is not included in the range.
Thus, the domain of the given inequality is y>1.
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The table is proportional and the constant of proportionality is 1.5
Step-by-step explanation:
Proportional relationships are relationships between two variables
where their ratios are equivalent
- One variable is always a constant value times the other
- The relation between the two variables represented graphically by a line passes through the origin point
The table:
→ x : 0 : 2 : 4 : 6
→ y : 0 : 3 : 6 : 9
To prove that y ∝ x find the ratio between each value of y with corresponding value of x
∵
∵
∵
∴
∴ k = 1.5
∵ The origin point is in the table
∴ y ∝ x
∴ The table is proportional
The table is proportional and the constant of proportionality is 1.5
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Answer:
The equation of the line is y=1.4x+6.8
Step-by-step explanation:
Given 2 points on the graph, you can find the slope using the equation: . The 2 points are (-7, -3) and (-2, 4). X1 is -7, X2 is -2, Y1 is -3, Y2 is 4. The slope would be 1.4 once you plug in the numbers to the equation to finding the slope. Once you find the slope, use one of the points to find the y-intercept along with the slope you found and the y-intercept will be 6.8.