Answer:
b = -50/7
Step-by-step explanation:
1. The formula to find y-intercept (b) given two points is [tex]b = y_1 - m * x_1[/tex], but let's first find the slope using [tex]\frac{y_2-y_1}{x_2-x_1}[/tex].
- [tex]\frac{18-2}{11-4}[/tex]
- [tex]\frac{16}{7}[/tex]
2. Now that we have the slope, let's use the formula for finding the y-intercept.
- [tex]b = 2 - \frac{16}{7} *4[/tex]
- [tex]b = 2-\frac{64}{7}[/tex]
- [tex]b = 2 - 9\frac{1}{7}[/tex]
- [tex]b = -7\frac{1}{7}[/tex]
- [tex]b = \frac{-50}{7}[/tex]
Therefore, the y-intercept is -50/7.
