Question

Compare the table and equation. X y 2 10 3 15 4 20 Equation: y = 4. 5x Which representation has the greatest slope? The equation has the greatest slope. The table has the greatest slope. The table and equation have the same slope. Their slopes cannot be determined.

Answer 1

The slope of the line gives the measure of the steepness and the direction.As the slope of the given table is 5 and slope of the given equation is 4.5. Thus the slope of the given table is more than the slope of the given equation. Hence the option B is the correct option.

Given information-

The given equation in the problem is,

$y=4.5x$

The slope of the line

The standard equation of the line can be given as,

$y=mx+c$

Where m is the slope of the line.

Compare the given equation with the standard form we get the value of the slope of the given equation is 4.5.

The slope of the table

The slope of the line can be given as,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

$m=\dfrac{15-10}{3-2}$

$m=5$

The slope of the value given in the table is 5.

As the slope of the given table is 5 and slope of the given equation is 4.5. Thus the slope of the given table is more than the slope of the given equation. Hence the option B is the correct option.

Learn more about the slope of the line here;

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