Respuesta :

Answer:

y-intercept: -5

Slope: 4

Equation: y = 4x - 5

Step-by-step explanation:

✔️ y-intercept (b):

When x = 0, y = -5. Therefore, the y-intercept (b) = -5. It is the point at which the y-axis cut across by the line. At this point, x is always zero.

✔️Slope using two points (0, -5) and (1, -1):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - (-5)}{1 - 0} = \frac{4}{1} = 4 [/tex]

Slope (m) = 4

✔️Equation in slope-intercept form y = mx + b:

Substitute m = 4, and b = -5 into y = mx + b

y = 4(x) + (-5)

y = 4x - 5