What is the slope of this line? 1,4 -1,-2

Answer 1

To find the slope of the line that passes through the points (1, 4) and (-1, -2), you can use the slope formula:

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

Where $(x_1,y_1)$ and $(x_2,y_2)$ are the coordinates of the two points. In this case, we have:

• $(x_1,y_1)=(1,4)$
• $(x_2,y_2)=(-1,-2)$

Now plug these values into the formula:

$$m=\frac{-2-4}{-1-1}$$

Calculating the numerator:

$$-2-4=-6$$

Calculating the denominator:

$$-1-1=-2$$

Now substitute back into the formula:

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

Thus, the slope of the line is $3$.