Answer:
y = -7x - 2
Explanation:
use y = mx + b
y = y-coordinate = 5
m = slope = -7
x = x-coordinate = -1
b = y-intercept = the only missing piece/what we're solving
usually, for an equation, x and y stay as variables, but to find the y intercept we need to plug in the coordinates:
5 = (-7)(-1) + b multiply -7 and -1
5 = 7 + b subtract 7 from both sides
b = -2
plug b into the equation and leave x and y as variables:
y = -7x - 2