Question

use the given equation to find the missing coordinates of the points and then find the slope of the line for each equation
3x-2y=12
A(...., 9) B(4, ...)
slope =....

Answer 1

Answer:

The slope of the line is $\frac{-3}{2}$

Step-by-step explanation:

The given equation is $3x-2y=12$.

First coordinate is A(x,9), By putting this in the above equation we will get

$3x-2*9=12\\3x=12+18=30$⇒$x=\frac{30}{3}=10$

second coordinate is B(4,y), Putting this in the given equation we will get $3*4-2y=12\\12-2y=12$⇒$y=0$.

Hence the two coordinate is A(10,9) and B(4,0). The slope between two point  on a line is defined as, $slope= \frac{y_2-y_1}{x_2-x_1}=\frac{9-0}{4-10}=-\frac{9}{6}=\frac{-3}{2}$.

Hence the slope of the line is $\frac{-3}{2}$