Question

What is an equation of the line that passes through the points (-3, 7) and (3, 3)?

Answer 1

Answer:

y - 7 = (-2/3)(x + 3)

Step-by-step explanation:

Two points on the line are given:  (-3, 7) and (3, 3).  The change in x as we go from the first point to the second is 6 and that in y is -4.  Thus the slope of this line is

          rise

m = ------------ = -4/6 = -2/3

          run

Now we know the slope of this line and can choose either point as a point on the line.  Using the point-slope formula y - k = m(x - h), we get:

y - 7 = (-2/3)(x - [-3], or

y - 7 = (-2/3)(x + 3)