Use slopes and y-intercepts to determine if the lines -5x – 4y = -3 and -5x – 5y = -3 are parallel Only need to know if they are parallel or not! Thank you!

Not parallel.

Step-by-step explanation:

If the slopes are the same they are parallel.

So we convert each one to slope-intercept form:

-5x - 4y = -3

-4y = 5x - 3    Divide both sides by -4:

y = -5/4 x + 3/4.  

Slope = -5/4.

-5x – 5y = -3

-5y  = 5x - 3       Divide both sides by -5:

y = -1 x + 3/5.

Slope = -1.

The slope are different - so NOT parallel.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

it would be 3 ÷by 6 because the number on each side