The equation of line with slope 1/2 passing through (5,1) is:
[tex]y=\frac{1}{2}x-\frac{3}{2}[/tex]
Step-by-step explanation:
Given
m = 1/2
and
P = (5,1)
The slope-intercept form is:
[tex]y=mx+b[/tex]
Putting the value of slope
[tex]y=\frac{1}{2}x+b[/tex]
To find the value of b, we will put (5,1) in the equation
So,
[tex]1=\frac{1}{2}(5)+b\\1=\frac{5}{2}+b\\1-\frac{5}{2}=b\\b=\frac{2-5}{2}\\b=-\frac{3}{2}[/tex]
Putting the values of m and b:
[tex]y=\frac{1}{2}x-\frac{3}{2}[/tex]
The equation of line with slope 1/2 passing through (5,1) is:
[tex]y=\frac{1}{2}x-\frac{3}{2}[/tex]
Keywords: Slope-intercept form
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