What is the slope of a line that passes through the point (−1, 1) and is parallel to a line that passes through (3, 6) and (1, −2)?

Question

amistre64 · Answer

all parallel lines have the same slope; regardless of the "point" they pass thru

amistre64 · Answer

subtract one point from the other and stack y/x

anonymous · Answer

??

radar · Answer

First calculate the slope of the line that the problem gave you two points.  That's doable, yes?

radar · Answer

Slope is:$$\Delta y \over \Delta x$$

anonymous · Answer

i haven't done this in years... isn't the equation like y2-y1/x2-x1?

radar · Answer

$$(-2-6) \over (1-3)$$$$-8 \over -2$$$$4$$Slope m = 4  Do you agree?

anonymous · Answer

i do. thank you

radar · Answer

Assuming that is correct, we can now say that the parallel line which the problem requires you to find the slope, as it was pointed out in the very first post above, the slope for the parallel line will also be 4.