Respuesta :

I believe the last option is the correct answer.

Answer:

y = 8x - 3

Step-by-step explanation:

1. The slope-intercept form of any linear equation is y = mx + b, where y = y-coordinate, m = slope, x = x-coordinate, and b = y-intercept.

2. Since we're already given the slope, 8, our equation looks like this so far: y = 8x + b.

3. We can use the formula [tex]b = y_1 - m * x_1[/tex] to find the y-intercept.

  • [tex]b = (5) - (8) * (1)[/tex]
  • [tex]b = 5 - 8[/tex]
  • [tex]b = -3[/tex]

4. Since b = -3, our equation now looks like this: y = 8x - 3.

Therefore, the correct answer is y = 8x - 3.