contestada

Which statement is true about the graphs of these functions: f(x)=6x+4 f(x) =5x-2
A.) the lines are parallel
B.) the lines are perpendicular
C.)the lines intercept, but are not perpendicular
D.) the lines coincide
**for bonus points, choose a function above and (1) list the slope and y-intercept, (2) rewrite the equation of the line in standard form, and (3) rewrite the equation of the line in point slope form.

Respuesta :

alessandroarenas

[tex]m_1  = 6, m_2 = 5[/tex]In general, the functions are of the form

[tex]y = f(x) = mx  +b[/tex]

The linear functions are

[tex]f(x) = 6x + 4\\f(x) = 5x -2[/tex]

Let [tex]m_1 = 6, m_2 = 5[/tex].

A. False: the lines are parallel if  [tex]m_1 = m_2[/tex] but this does not happen.

B. False. The lines are perpendicular if [tex]m_1m_2 = -1[/tex]  and clearly this does not happen.

C.  [tex]6x + 4 = 5x - 2\\x = -6\\6(-6) + 4 = -32 = 5(-6) -2[/tex]

Then C is true.

D. False. The lines are not the same.

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