Answer:
Equation is y = 5x - 6
Step-by-step explanation:
[tex]y = mx + c[/tex]
m is slope, and c is y-intercept:
[tex]slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
(x1, y1) = (1, -1)
(x2, y2) = (0, -4)
[tex]m = \frac{ - 4 - 1}{0 - 1} \\ \\ m = 5[/tex]
for y-intercept, consider (1, -1):
[tex]y = mx + c \\ - 1 = (5 \times 1) + c \\ - 1 = 5 + c \\ c = - 6[/tex]
substitute in general equation:
[tex]y = 5x - 6[/tex]
