Question

Write an equation in point slope from that passes through (-4,-6) and is parallel to y=-7/2x +6

Answer 1

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 2

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~