Answer:
If a line is parallel to another line they’ll have the same slope. We can figure out the slope by taking the given equation of a line and changing it to slope-intercept formula.
x + 3y = 15
3y = -x + 15
y = -1/3 x + 5
Now we know the slope of our line is -1/3. We can use this and the given point to calculate our y-intercept, commonly known as b in the slope-intercept formula.
-5 = -1/3 (-6) + b
-5 = 2 + b
-7 = b
Now that we know our slope, m, and our y-intercept, b, we can write the equation of the line.
y = mx + b
y = -1/3 x - 7
Step-by-step explanation:
