Find the circumference of the largest circle that can be inscribed inside a square whose side is 5" ( with explanation )
1 answer:
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Answer:
y-intercept = c = -2
slope = y = - 4
Step-by-step explanation:
The correct equation is:
4x + y = -2
We need to graph the line using its slope and y-intercept. The slope intercept form of the equation is:
y = mx + c
Here, m is the slope and c is the y-intercept. Transforming the given equation to this form gives us:
y = - 4x - 2
This means, the slope is:
m = - 4
and y-intercept is:
c = - 2
y-intercept in ordered pair is written as (0, c). So for the given case the y intercept will be (0, -2). This gives us first point on the graph.
The slope tells us that by how many units will the y variable will change for one unit change in x-axis.
So slope, m = - 4, tells us that the y-variable will change by negative 4 units for 1 unit change in x variable.
Based on this change, we can get another point from (0, -2) which will be (0+1, -2 - 4) = (1, - 6)
This gives us the second point on the graph. Plot these two points and join them using a straight line. This straight line will be the graph of equation y = 4x - 2 or 4x + y = -2
The graph is attached below.
The solution is x = 4 and y = -1
Step-by-step explanation:
The system of equation is:
- y =
x - 3
- y = x - 5
To solve it using the elimination method do that
∵ y = x - 3 ⇒ (1)
∵ y = x - 5 ⇒ (2)
- Subtract equation (1) from equation (2) to eliminate y
∵ y - y = (x - x) - 5 - (-3)
- Remember (-)(-) = (+)
∴ 0 = x - 5 + 3
∴ 0 = x - 2
- Add 2 to both sides
∴ 2 = x
- Multiply both sides by 2
∴ 4 = x
∴ x = 4
- Substitute the value of x in equation (1) or (2) to find y
∵ y = 4 - 5
∴ y = -1
The solution is x = 4 and y = -1
Learn more:
You can learn more about the system of linear equations in brainly.com/question/2115716
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