Answer:
y = -5/7(x) - 3/7
Step-by-step explanation:
1. We're already given the value of m in y = mx + b: -5/7. So, our equation looks like this so far: y = -5/7(x) + b.
2. To solve for b, the y-intercept, we use this formula: [tex]b = y_1 - m * x_1[/tex]
- [tex]b = -4 - (-\frac{5}{7}) * (5)[/tex]
- [tex]b = -\frac{3}{7}[/tex]
3. Now that we know the values of m and b, the equation looks like this: [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].
Therefore, the answer is [tex]y = -\frac{5}{7}x -\frac{3}{7}[/tex].
