Answer:
y+6 = -7/2 (x+4)
Step-by-step explanation:
This is the equation in point slope form: y1-y2 = m(x1-x2)
m is the slope which we can get from the equation given in slope intercept form ,i.e., -7/2 [Since they are parallel, they will have the same slope!]
y2 = -6
x2= -4
Hence, y1-(-6) = -7/2 (x1-(-4))
y+6 = -7/2 (x+4)
Hope this helps!
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Answer:
y = -7/2x -20
Step-by-step explanation:
For this problem, we are basically looking for a new y intercept. Parallel equations have the same slope, so half the work is done for us. We can use the slope formula: y = mx + b
We will plug in the coordinates to this formula and solve for b --our y-intercept.
Y is -6
X is -4
So our equation will look like this:
(-6) = -7/2(-4) + b
Now we solve!
-7/2 * -4 = 28/2 = 14
Which gives us:
-6 = 14 + b
Lastly, subtract 14 from both sides and isolate b
-20 = b
Now we just plug it back into our slope equation and we'll have:
y = -7/2x - 20
Hope this was helpful~
