Answer:
y=-7x-3
Step-by-step explanation:
1. Parallel lines have the same slope, so the number that goes in front of x is -7.
2. To find the second number, you need to get the y-intercept by putting the equation into point-slope form and then converting that to y=mx+b format.
Point-slope form:
y-y1=m(x-x1).
m represents the slope, y1 represents the y-value in the ordered pair, and x1 represents the x-value of the ordered pair. Plug these numbers into the equation.
y-32=-7(x+5)
Convert to y=mx+b:
Distribute -7 to x + 5
y-32=-7x-35
Add 32 to both sides
y=-7x-3
3. -3 is the y-intercept because in the equation y=mx+b is b.
