What is the correct set up to finding the slope of a line that passes through the points (6,-3)and (-2, 7

Answer 1

To find the slope of a line that passes through two points $(x_1,y_1)$ and $(x_2,y_2)$, you can use the slope formula:

$$m=\frac{y_2-y_1}{x_2-x_1}$$

In your case, the points are $(6,-3)$ and $(-2,7)$. Assign the coordinates as follows:

• $(x_1,y_1)=(6,-3)$
• $(x_2,y_2)=(-2,7)$

Now, plug these values into the slope formula:

$$m=\frac{7-(-3)}{-2-6}$$

This simplifies to:

$$m=\frac{7+3}{-2-6}$$

$$m=\frac{10}{-8}$$

$$m=-\frac{5}{4}$$

Thus, the slope of the line passing through the points $(6,-3)$ and $(-2,7)$ is $-\frac{5}{4}$.