Which equation represents a line that passes through (2, –left-parenthesis 2, negative StartFraction one-half EndFraction right-parenthesis.) and has a slope of 3?y – 2 = 3(x + y minus 2 equals 3 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)y – 3 = 2(x + y minus 3 equals 2 left-parenthesis x plus StartFraction one-half EndFraction right-parenthesis.)y + y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis. = 3(x – 2)y + y plus StartFraction one-half EndFraction equals 2 left-parenthesis x minus 3 right-parenthesis. = 2(x – 3)
Accepted Solution
A:
Answer:y plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesisStep-by-step explanation:we have [tex]point(2,-\frac{1}{2})\\m=3[/tex]The equation of the line in point slope form is [tex]y-y1=m(x-x1)[/tex]substitute the values[tex]y+\frac{1}{2}=3(x-2)[/tex]thereforey plus StartFraction one-half EndFraction equals 3 left-parenthesis x minus 2 right-parenthesis