Asked by anonymous
What is the equation of the line that passes through the point 5,1) and has a slope of 1/5?
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Answered by
GPT 3.5
To find the equation of a line, you need the slope and a point on the line. Let's use the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.
Given the point (5,1) and a slope of 1/5, we can substitute these values into the equation:
1 = (1/5)(5) + b
Simplifying the equation:
1 = 1 + b
To isolate the variable b, subtract 1 from both sides:
b = 1 - 1
b = 0
The equation of the line with a slope of 1/5 and passing through the point (5,1) is y = (1/5)x.
Given the point (5,1) and a slope of 1/5, we can substitute these values into the equation:
1 = (1/5)(5) + b
Simplifying the equation:
1 = 1 + b
To isolate the variable b, subtract 1 from both sides:
b = 1 - 1
b = 0
The equation of the line with a slope of 1/5 and passing through the point (5,1) is y = (1/5)x.
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