How many minutes does it take Arnob to catch up to Kathleen?

Algebra
Tutor: None Selected Time limit: 1 Day

Jun 24th, 2015

Thank you for the opportunity to help you with your question!

We can use the point slope form of a line to find the equation of the 2 linear functions.


(-3, -10) and (0, 2) are points on the first line.

Slope of first line,



Point slope form of equation of a line is


where m is the slope of the line 

and  is a point on the line.


Take  = (0, 2)

So, equation of the first line is



(0, -12) and (3, -3) are points on the first line.

Slope of second line,



Take  = (0, -12)

So, equation of second line is



Substitute y from equation (1) into equation (2)

4x + 2 = 3x - 12

4x - 3x = -12 - 2

x = -14


Substitute value of x in equation (1)

y = 4*(-14) + 2

y = -56 + 2

y = -54


So, solution is (-14, -54) .


ANSWER:   (-14, -54)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 24th, 2015

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