The equation which represents a line passes through point (4 , [tex]\frac{1}{3}[/tex] ) and
has slope [tex]\frac{3}{4}[/tex] is [tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex] ⇒ 1st
Step-by-step explanation:
The line passes through point (4 , [tex]\frac{1}{3}[/tex] ) and has slope [tex]\frac{3}{4}[/tex]
The form of the equation of a line has slope m and passes through
point [tex](x_{1},y_{1})[/tex] is [tex]y-y_{1}=m(x-x_{1})[/tex]
∵ m = [tex]\frac{3}{4}[/tex]
∵ [tex](x_{1},y_{1})[/tex] = (4 , [tex]\frac{1}{3}[/tex] )
Substitute these values in the form of the equation above
∴ The equation of the line is:
[tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]
The four answers are:
[tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]
[tex]y-\frac{3}{4}=\frac{1}{3}(x-4)[/tex]
[tex]y-\frac{1}{3}=4(x-\frac{3}{4})[/tex]
[tex]y-4=\frac{3}{4}(x-\frac{1}{3})[/tex]
The right answer is the first one [tex]y-\frac{1}{3}=\frac{3}{4}(x-4)[/tex]
Learn more:
You can learn more about the equation of a line in brainly.com/question/8955867
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Answer:
It's A
Step-by-step explanation:
Took it 7 got it right on Edg
