Respuesta :
Answer:
c
Step-by-step explanation:
did the exam on edge and got 100
The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.
What is the equation of a line?
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the linear function that is represented by the table,
Slope, m = [(-3/5) - (-13/30)]/[(2/3)-(1/4)]
= [(-18+13)/30] / [(8-3)/12]
= -(12/30)
= -(2/5)
The y-intercept of the linear function that is represented by the table can be found by substituting the coordinate of any one point in the equation of the line.
[tex]y = mx + c\\\\-(\dfrac{2}{15}) = -(\dfrac{2}{5})(-\dfrac12) + C\\\\-\dfrac{2}{15} = \dfrac15 + C\\C = -\dfrac5{15}\\\\C = -\dfrac13[/tex]
Hence, The slope is Negative two-fifths, and the y-intercept is Negative one-third. Hence, the correct option is A.
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