Which line is parallel to the line that passes through the points (-1, 2) and (5,

Nice!  Now, the slope of the line joining points (-1, 2) and (5, -4) is



Look at each answer choice and pick out the one that has a slope of -1.

a. y = -x + 1 The coefficient of x is -1, so that's the answer you want.
b. y = -1/3x - 4 The coefficient of x is -1/3; the slope is -1/3.  Nope.

etc.

Law of detachment is used when you have a conditional statement and another statement that matches the hypothesis (the part following if) of the conditional. ... Law of syllogism is used when you have two conditionals and the hypothesis of one matches the conclusion of the other.