We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.

+0

# Need help, please

0
194
1

Please help fast! I appreciate your help.

The line l passes through the points (3,-3) and (-5,2). The line is the graph of the equation Ax+By=C, where A, B, and C are integers with greatest common divisor 1, and A is positive. Find A+B+C.

Nov 10, 2018

### Best Answer

#1
+1

pretty simple stuff

first find the slope of the line

\(m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-(-3)}{-5-3} = \dfrac{5}{-8}=-\dfrac 5 8\)

now use point slope form with say the first point (3,-3) to define the line

\((y-p_y) = m(x-p_x)\\ (y-(-3))=-\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8 x+\dfrac{15}{8}\\ 8y + 24 = -5x + 15\\ 5x+8y = -9\\ 5+8+(-9) = 4\)

.
Nov 10, 2018

### 1+0 Answers

#1
+1
Best Answer

pretty simple stuff

first find the slope of the line

\(m = \dfrac{y_2-y_1}{x_2-x_1} = \dfrac{2-(-3)}{-5-3} = \dfrac{5}{-8}=-\dfrac 5 8\)

now use point slope form with say the first point (3,-3) to define the line

\((y-p_y) = m(x-p_x)\\ (y-(-3))=-\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8(x-3)\\ y+3 = -\dfrac 5 8 x+\dfrac{15}{8}\\ 8y + 24 = -5x + 15\\ 5x+8y = -9\\ 5+8+(-9) = 4\)

Rom Nov 10, 2018