Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
- [tex]\displaystyle \frac{\triangle y}{\triangle x}[/tex]
In mathematics, coordinate pairs are labeled as:
[tex](x_1, y_1) \ \text{and} \ (x_2, y_2)[/tex]
Therefore, we can relabel our points:
- [tex]x_1 = -5[/tex]
- [tex]y_1 = -3[/tex]
- [tex]x_2 = 2[/tex]
- [tex]y_2 = 4[/tex]
After we do this, we can expand the rate of change formula:
[tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]
Now, we can use simple substitution to solve for m, or the slope.
[tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{4-(-3)}{2-(-5)}\\\\m = \frac{7}{7}\\\\m = 1[/tex]
Therefore, the slope of the line is 1.
