Question

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.

Answer 1

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

Explanation:

When looking at
`f(x)=4x-9` is basically the same way of saying
`y=4x-9`

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

`m=(y_(2) -y_(1) )/(x_(2) -x_(1) )`

`m=(7)/(2)` as a decimal
`m=3.5`

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

Which makes line A slope greater than line B slope