The equation represents a line that passes through (5, 1) and has a slope of 1/2 is given by (A) y - 5 = 1/2 (x-1).
What is Slope?
The tangent value of the angle formed between a straight line and positive x-axis is called the Slope of that straight line.
If the slope of a line is m and the line is satisfied by point (a,b) then the equation of the line is given by,
y - b = m (x - a)
Here in the problem it is given that the slope is 1/2 and line passes thorugh (5,1).
So, a = 5, b = 1, m = 1/2
Hence the equation of the straight line is given by,
y - 5 = 1/2 (x - 1)
Hence the correct option is (A)
Your question is incomplete.Please find the missing content here:
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
?y – 5 = 1/2(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)
?y – 5 = 1/2(x –1)y – 1/2 = 5(x –1)y – 1 = 1/2(x –5)y – 1 = 5|x-1/2|
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