(70 points)Which of the following has a graph that is a straight line?Equation 1: y = 5x2 + 41Equation 2: y = 14x5 − 4Equation 3: y = 12x + 17Equation 4: y4 = 2x − 1Which of the following ordered pairs could be placed in the table and still have the relation qualify as a linear function? Input(x)Output(y)1123956??(7, 3)(7, 10)(3, 3)(3, 10)

Respuesta :

An equation of a line has the next general form:

[tex]y=mx+b[/tex]

Then, from the given equations the one that has a graph that is a straight line is:

[tex]y=12x+17[/tex]

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A linear function have a proportional relationship between its variables.

Then, you need to find the relation in the given data:

[tex]\begin{gathered} \frac{y_2-y_1}{x_2-x_1} \\ \\ \frac{9-12}{3-1}=-\frac{3}{2} \\ \\ \frac{6-9}{5-3}=-\frac{3}{2} \end{gathered}[/tex]

The constant of proportionality is -3/2, then ordered pair that can be placed in the table needs to follow that constant:

[tex]\begin{gathered} (7,3) \\ \frac{3-6}{7-5}=-\frac{3}{2} \end{gathered}[/tex]The point is (7,3)