Answer:
y = -4/5x + 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Write equation in slope-intercept form
5y = -35 - 4x
y = -7 - 4/5x
Step 2: Write parallel line equation
y = -4/5x + 5
A parallel line is a line that has the same slope as the previous equation but a different y-intercept. They never intersect.
Multiple both ratios by a least common denominator
the least common denominator for both is 15
multiply the first ratio by 3/3
9/15=9/15
both are equal because when multiplying by the least common denominator you get the same answer