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If the x-intercept of line L is -5 and the slope is equal to 5/2, Find the y-intercept of the line L.
- a)-2
- b)-5/2
- c)2
- d)5/2
- e)25/2
Correct answer is option 'E'. Can you explain this answer?
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If the x-intercept of line L is -5 and the slope is equal to 5/2, Find...
Given information:
- X-intercept of line L is -5
- Slope of line L is 5/2
To find:
- Y-intercept of line L
Solution:
The x-intercept is the point at which the line intersects the x-axis, which means that the y-coordinate of this point is zero. Therefore, we can use this information to find the y-intercept.
Let's first write the equation of the line using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
We know that the slope of the line is 5/2, so we can substitute that into the equation:
y = (5/2)x + b
We also know that the x-intercept of the line is -5. We can use this information to find the value of the y-intercept by plugging in -5 for x and 0 for y:
0 = (5/2)(-5) + b
Simplifying this equation, we get:
0 = -25/2 + b
Adding 25/2 to both sides, we get:
25/2 = b
Therefore, the y-intercept of the line is 25/2, which is option E.
Answer: E) 25/2
- X-intercept of line L is -5
- Slope of line L is 5/2
To find:
- Y-intercept of line L
Solution:
The x-intercept is the point at which the line intersects the x-axis, which means that the y-coordinate of this point is zero. Therefore, we can use this information to find the y-intercept.
Let's first write the equation of the line using the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
We know that the slope of the line is 5/2, so we can substitute that into the equation:
y = (5/2)x + b
We also know that the x-intercept of the line is -5. We can use this information to find the value of the y-intercept by plugging in -5 for x and 0 for y:
0 = (5/2)(-5) + b
Simplifying this equation, we get:
0 = -25/2 + b
Adding 25/2 to both sides, we get:
25/2 = b
Therefore, the y-intercept of the line is 25/2, which is option E.
Answer: E) 25/2
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Community Answer
If the x-intercept of line L is -5 and the slope is equal to 5/2, Find...
For every value of x=2 ,y=5 ,so for x=4 ,y=10 and for x= 5, y= 12.5= 25/2.
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If the x-intercept of line L is -5 and the slope is equal to 5/2, Find the y-intercept of the line L.a)-2b)-5/2c)2d)5/2e)25/2Correct answer is option 'E'. Can you explain this answer?
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