Answer:
y = (4/3)x - 3
Explanation:
What is an equation of the line that passes through the points (3, 1) and (-3, -7)? (Do not repeat the coordinates of the points.)
First we need to find the slope of the line through these two points. From (-3, -7) to (3, 1), x increases by 6 (which is the 'run') and y increases from -7 to 1 ( a 'rise' of 8). Thus, the slope of this line is m = rise/run = 8/6, or m = 4/3.
Using the point-slope formula as our starting point, we insert the known values m = 4/3 and point (3, 1):
y - k = m(x - h) becomes y - 1 = (4/3)(x - 3). This in itself is a satisfactory answer. We could also write this equation in slope-intercept form, as follows:
y = 1 + (4/3)x - 4, or
y = (4/3)x - 3