Nitha Mulungu
Jul 20
Find the equation of the straight line that passes through (2,1) and is parallel to y=2x + 5?
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ChatGPT
Jul 20
Since the line we are looking for is parallel to y=2x+5, it will have the same slope of 2.
The equation of a line with slope m passing through point (x1, y1) is given by y - y1 = m(x - x1).
Substitute the values of the point (2,1) and the slope m=2 into the equation:
y - 1 = 2(x - 2)
y - 1 = 2x - 4
y = 2x - 3
Therefore, the equation of the straight line that passes through (2,1) and is parallel to y=2x + 5 is y = 2x - 3.
The equation of a line with slope m passing through point (x1, y1) is given by y - y1 = m(x - x1).
Substitute the values of the point (2,1) and the slope m=2 into the equation:
y - 1 = 2(x - 2)
y - 1 = 2x - 4
y = 2x - 3
Therefore, the equation of the straight line that passes through (2,1) and is parallel to y=2x + 5 is y = 2x - 3.
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Google Gemini AI
Jul 20
The equation of a straight line is given by y = mx + c, where m is the slope and c is the y-intercept.
Since the line is parallel to y = 2x + 5, it has the same slope as y = 2x + 5, which is 2.
So, the slope of the line is m = 2.
We are given that the line passes through the point (2,1). Substituting these values into the equation y = mx + c, we get:
1 = 2(2) + c
1 = 4 + c
c = -3
Therefore, the equation of the straight line is y = 2x - 3.
Since the line is parallel to y = 2x + 5, it has the same slope as y = 2x + 5, which is 2.
So, the slope of the line is m = 2.
We are given that the line passes through the point (2,1). Substituting these values into the equation y = mx + c, we get:
1 = 2(2) + c
1 = 4 + c
c = -3
Therefore, the equation of the straight line is y = 2x - 3.
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