Question

What is the equation of the line that passes through points (-3, 0.5) and (3, -0.5)

Answer 1

Answer:

y = (-1/6)x

Step-by-step explanation:

As we move from  (-3, 0.5) to (3, -0.5), x increases by 6 and y decreases by 1.

Hence, the slope of this line is m = rise / run = -1/6.

Starting with the slope-intercept form of the equation of a straight line, we have:

y = mx + b.  We substitute 0.5 for y, -3 for x and -1/6 for m, obtaining:

0.5 = (-1/6)(-3) - b, or:

0.5 = 0.5 - b.  Then b = 0, and the desired equation is

y = (-1/6)x