A line passes through the points in this table.

Question

x y
-5 29
0 22
15 1
25 -13
What is the slope of the line?
Write your answer as an integer or simplified fraction.

Answer 1

To find the slope of the line that passes through the given points, we can use the slope formula, which is defined as:

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

where $(x_1,y_1)$ and $(x_2,y_2)$ are any two points on the line.

Let's use the points $(0,22)$ and $(25,-13)$ for our calculation.

Here, $x_1=0$, $y_1=22$, $x_2=25$, and $y_2=-13$.

Now plug these values into the formula:

$$m=\frac{-13-22}{25-0}$$

Calculating the numerator:

$$-13-22=-35$$

Calculating the denominator:

$$25-0=25$$

So now we have:

$$m=\frac{-35}{25}$$

This can be simplified. Both -35 and 25 can be divided by 5:

$$m=\frac{-35÷5}{25÷5}=\frac{-7}{5}$$

Therefore, the slope of the line is:

$$\boxed{{\displaystyle -\frac{7}{5}}}$$