10) Consider two lines. Line A is given by the function f(x) = 4x − 9, while Line B contains the points (0, 5) and (2, 12). Which statement is true? A) Line A and Line B have the same slope. B) Line A has a greater slope than Line B. C) Line B has a greater slope than Line A. D) Line A slope is less than the slope of Line B.

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Answer:

B) Line A has a greater slope than Line B.

Step-by-step explanation:

When looking at [tex]f(x)=4x-9[/tex] is basically the same way of saying [tex]y=4x-9[/tex]

which is in slope-intercept form. Because of that, we know that the slope of line A is 4.

To find the slope of line B we have to use the slope formula

[tex]m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]m=\frac{7}{2}[/tex] as a decimal [tex]m=3.5[/tex]

So line A slope = 4 and line B slope = 3.5

Which makes line A slope greater than line B slope

Ver imagen shownubear1992