Which equation represents a line that passes through (5, 1) and has a slope of StartFraction one-half EndFraction?i need help asap

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:Givenm = 1/2andP = (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 equationSo,[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 formLearn more about slope-intercept form at:brainly.com/question/10435836brainly.com/question/10541435#LearnwithBrainly