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The equation of the straight line which makes equal intercepts on the coordinate axes and passes through the poijnt (2, 3), is given b
- a)x+y=5
- b)2x+3y=5
- c)x+y=2
- d)x+y=3
Correct answer is option 'A'. Can you explain this answer?
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The equation of the straight line which makes equal intercepts on the ...
Proof: The equation of a st raight line having equal intercepts on the coordinate axis is given by
where a is the intercept on x or y-axis.
Since the. straight line (i) passes through the point (2, 3), therefore the coordinates of this point will satisfy equation (i).
where a is the intercept on x or y-axis.
Since the. straight line (i) passes through the point (2, 3), therefore the coordinates of this point will satisfy equation (i).
Most Upvoted Answer
The equation of the straight line which makes equal intercepts on the ...
To find the equation of the straight line that makes equal intercepts on the coordinate axes and passes through the point (2, 3), we can use the slope-intercept form of a line, which is given by:
y = mx + b
where m is the slope of the line and b is the y-intercept.
Let's first find the slope of the line. Since the line makes equal intercepts on the coordinate axes, the x-intercept and y-intercept will have the same absolute value, but with opposite signs. Let's denote their value as a.
The x-intercept will be (-a, 0) and the y-intercept will be (0, -a). We can use the two points (-a, 0) and (0, -a) to find the slope:
m = (y2 - y1) / (x2 - x1)
= (-a - 0) / (0 - (-a))
= -a / a
= -1
Now that we have the slope, we can substitute it into the slope-intercept form of a line along with the coordinates of the given point (2, 3) to find the equation:
y = mx + b
3 = -1 * 2 + b
3 = -2 + b
b = 5
Therefore, the equation of the straight line that makes equal intercepts on the coordinate axes and passes through the point (2, 3) is:
y = -x + 5
The correct answer is option A: x + y = 5, which is the same as y = -x + 5.
y = mx + b
where m is the slope of the line and b is the y-intercept.
Let's first find the slope of the line. Since the line makes equal intercepts on the coordinate axes, the x-intercept and y-intercept will have the same absolute value, but with opposite signs. Let's denote their value as a.
The x-intercept will be (-a, 0) and the y-intercept will be (0, -a). We can use the two points (-a, 0) and (0, -a) to find the slope:
m = (y2 - y1) / (x2 - x1)
= (-a - 0) / (0 - (-a))
= -a / a
= -1
Now that we have the slope, we can substitute it into the slope-intercept form of a line along with the coordinates of the given point (2, 3) to find the equation:
y = mx + b
3 = -1 * 2 + b
3 = -2 + b
b = 5
Therefore, the equation of the straight line that makes equal intercepts on the coordinate axes and passes through the point (2, 3) is:
y = -x + 5
The correct answer is option A: x + y = 5, which is the same as y = -x + 5.
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The equation of the straight line which makes equal intercepts on the coordinate axes and passes through the poijnt (2, 3), is given ba)x+y=5b)2x+3y=5c)x+y=2d)x+y=3Correct answer is option 'A'. Can you explain this answer?
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