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What is the y-coordinate of the point in the standard (x, y) coordinate plane at which the 2 lines y = 3x + 4 and y = 2x + 6 intersect?
- a)1
- b)2
- c)4
- d)6
- e)10
Correct answer is option 'E'. Can you explain this answer?
Verified Answer
What is the y-coordinate of the point in the standard (x, y) coordinat...
You are given that the two lines intersect at a certain point, which means that the lines cross at the same point in the (x, y) coordinate plane, so at that point, the equations of those lines is equal. Set up the following equation and solve for x:
3x + 4 = 2x + 6
x = 2
Now, substitute 2 for x in either equation and find y, as follows:
y = 3x + 4
y = 3(2) + 4
y = 6 + 4 = 10
3x + 4 = 2x + 6
x = 2
Now, substitute 2 for x in either equation and find y, as follows:
y = 3x + 4
y = 3(2) + 4
y = 6 + 4 = 10
Most Upvoted Answer
What is the y-coordinate of the point in the standard (x, y) coordinat...
You are given that the two lines intersect at a certain point, which means that the lines cross at the same point in the (x, y) coordinate plane, so at that point, the equations of those lines is equal. Set up the following equation and solve for x:
3x + 4 = 2x + 6
x = 2
Now, substitute 2 for x in either equation and find y, as follows:
y = 3x + 4
y = 3(2) + 4
y = 6 + 4 = 10
3x + 4 = 2x + 6
x = 2
Now, substitute 2 for x in either equation and find y, as follows:
y = 3x + 4
y = 3(2) + 4
y = 6 + 4 = 10
Community Answer
What is the y-coordinate of the point in the standard (x, y) coordinat...
The given lines are y = 3x - 4 and y = 2x - 6. To find the point of intersection, we need to find the values of x and y that satisfy both equations.
Setting the two equations equal to each other, we have:
3x - 4 = 2x - 6
Simplifying the equation, we get:
x = -2
Now, substitute this value of x into either equation to find the corresponding y-coordinate. Let's use the first equation y = 3x - 4:
y = 3(-2) - 4
y = -6 - 4
y = -10
So, the point of intersection is (-2, -10), which means the y-coordinate is -10.
Since the answer choices are given in terms of positive values, we need to find the absolute value of -10, which is 10. Therefore, the y-coordinate of the point of intersection is 10.
Hence, the correct answer is option E, 10.
Setting the two equations equal to each other, we have:
3x - 4 = 2x - 6
Simplifying the equation, we get:
x = -2
Now, substitute this value of x into either equation to find the corresponding y-coordinate. Let's use the first equation y = 3x - 4:
y = 3(-2) - 4
y = -6 - 4
y = -10
So, the point of intersection is (-2, -10), which means the y-coordinate is -10.
Since the answer choices are given in terms of positive values, we need to find the absolute value of -10, which is 10. Therefore, the y-coordinate of the point of intersection is 10.
Hence, the correct answer is option E, 10.
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What is the y-coordinate of the point in the standard (x, y) coordinate plane at which the 2 lines y = 3x + 4 and y = 2x + 6 intersect?a)1b)2c)4d)6e)10Correct answer is option 'E'. Can you explain this answer?
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