Question

Is the line through points P(0, 5) and Q(–1, 8) parallel to the line through points R(3, 3) and S(5, –1)? Explain.

a. No, the lines have unequal slopes.
b. Yes, the lines are both vertical.
c. Yes, the lines have equal slopes.
d. No, one line has slope, while the other has no slope.

Answer 1

Slope PQ
m = (y2 - y1)/(x2 - x1)
y2 = 8
x2 = - 1
m = (8 - 5)/(-1 - 0)
m = 3/-1 = -3

Slope RS
m = (y2 - y1)/(x2 - x1)
y2 = 3
x2 = 3
m = (3 - - 1)/(3 - 5)
m = 4/-2 = -2

Conclusion
The slopes are not either 0 or undefined. They are not vertical or horizontal. They are not related by m1*m2 = -1 so they do not relate by right angles. They are not the same.

Answer: A <<<