Question

Find an equation of the line containing the given point an parallel to the given line.
(-7,-2)and (-3,-5)
The equation of the line is Y=

Answer 1

y = (-3/4)x - (29/4)

Answer 2

Well you can find your slope by doing (y2-y1)/(x2-x1)...
y2 = -5
y1 = -2
x2 = -3
x1 = -7
(-5 - -2)/(-3 - -7)
(-3)/(4)
Your slope = -3/4

Answer 3

So since we want our answer in the form of y=mx + b...and since we already have m...we can take one of the two points we were given (it doesn't matter which) and plug it in and solve for b.
I'll use (-7, -2)...
y=mx+b
-2 = (-3/4) * (-7) + b

-2 = (21/4) + b
Convert -2 into a fraction for the upcoming fractional subtraction...
-2 = -8/4
(-8/4) = (21/4) + b

Subtract (21/4) from both sides...
(-8/4) - (21/4) = (21/4) + b - (21/4)
(-29/4) = b

Answer 4

Excellent example..

Answer 5

can u help me with one more problem please