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I don’t understand B and D or the correct way to solve the whole problem. Please help.

I don’t understand B and D or the correct way to solve the whole problem. Please help-example-1
User BinaryTofu
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1 Answer

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The rate of change of a line is equivalent to its slope.

The slope (m) of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:


m=(y_2-y_1)/(x_2-x_1)

The line graphed passes through the points (-5, 0) and (0, -5), then its slope is:


m=(-5-0)/(0-(-5))=-1

The line of table A passes through the points (6, 11) and (10, 17), then its slope is:


m=(17-11)/(10-6)=(3)/(2)

The line of equation B has the slope-intercept form:


y=mx+b

with m = -3/2 (the slope) and b = -1.

The line of equation D also has the slope-intercept form with m = 1/2, and b = 3.

The line of table C passes through the points (3, 1) and (7, -3), then its slope is:


m=(-3-1)/(7-3)=-1

which is the same slope (rate of change) as the function graphed

User GianMS
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