Solve {l}{m=frac{y_{2}-y_{1}}{x_{2}-x_{1}}}{y_{2}=4}{y_{1}=-3}{x_{2}=-2}{x_{1}=-6}{n=m}{text{Solvefor}otext{where}}{o=n}

$$\left. \begin{array} { l } { m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }\\ { y_{2} = 4 }\\ { y_{1} = -3 }\\ { x_{2} = -2 }\\ { x_{1} = -6 }\\ { n = m }\\ { \text{Solve for } o \text{ where} } \\ { o = n } \end{array} \right.$$

Solve for m, y_2, y_1, x_2, x_1, n, o

$$o = \frac{7}{4} = 1\frac{3}{4} = 1.75$$

Solution Steps

Consider the first equation. Insert the known values of variables into the equation.

$$m=\frac{4-\left(-3\right)}{-2-\left(-6\right)}$$

Multiply -1 and -3 to get 3.

$$m=\frac{4+3}{-2-\left(-6\right)}$$

Add 4 and 3 to get 7.

$$m=\frac{7}{-2-\left(-6\right)}$$

Multiply -1 and -6 to get 6.

$$m=\frac{7}{-2+6}$$

Add -2 and 6 to get 4.

$$m=\frac{7}{4}$$

Consider the equation (6). Insert the known values of variables into the equation.

$$n=\frac{7}{4}$$

Consider the equation (7). Insert the known values of variables into the equation.

$$o=\frac{7}{4}$$

The system is now solved.

$$m=\frac{7}{4} y_{2}=4 y_{1}=-3 x_{2}=-2 x_{1}=-6 n=\frac{7}{4} o=\frac{7}{4}$$