Is the line through the points R(-1,3) and S(2,-7) parallel to the graph of the line given by the equation, 10x+3y=6? Explain why.
A.Yes, both lines are vertical
B.Yes, both lines have the same slope.
C.No, both lines have positive slopes that are not equal.
D.No, both lines have negative slopes that are not equal.

Question

Is the line through the points R(-1,3) and S(2,-7) parallel to the graph of the line given by the equation, 10x+3y=6? Explain why.
A.Yes, both lines are vertical
B.Yes, both lines have the same slope.
C.No, both lines have positive slopes that are not equal.
D.No, both lines have negative slopes that are not equal.

danjs · Answer

you want to compare the slopes of both of those lines, the equation, and the line through those 2 points

danjs · Answer

so for the equation 
10x + 3y = 6

The slope is:
3y = -10x + 6
y = -10/3  +  2

slope = -10/3

danjs · Answer

for the points:

slope = (-7 - 3) / (2-(-1))   =   -10/3

danjs · Answer

same slopes