SOLUTION: Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m =7/3; (−4, −9) can

Algebra ->  Graphs -> SOLUTION: Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form. m =7/3; (−4, −9) can      Log On


   



Question 1018448: Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.
m =7/3; (−4, −9)


can you help me figure this out. thank you

Answer by ikleyn(52887) About Me  (Show Source):
You can put this solution on YOUR website!
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Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in standard form.
m =7/3; (−4, −9)
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We write the equation of the straight line in the form 

y = 7%2F3*x + c,    (1)

where c is some constant. Notice that this equation provides the slope of 7%2F3 as required.

We need to chose the value of the constant c in a way the straight line passes through the point (-4,-9). 
For it, substitute x = -4 and y = -9 into the equation (1).

You will get

-9 = 7%2F3*(-4) + c.

It implies c = -9 - 7%2F3.(-4) = %28-9%2A3%29%2F3+-+%287%2A%28-4%29%2F3%29 = %28-27+%2B+28%29%2F3%29 = 1%2F3.

Hence, the equation (1) takes the form

y = -7%2F3%2Ax+%2B+1%2F3.     (2)

It is your answer.