What is the equation of the line that passes through the points #(-1,6)# and #(2, 6)#?
1 Answer
Oct 9, 2016
y=6
Explanation:
Although you would normally start by finding the slope using the slope formula and plugging that into the point-slope equation/formula, you should first think about the question. If you were to plot the points (-1,6) and (2,6) you would realize that the line those two points create is horizontal. Horizontal lines have a slope of zero. This line would be written as y=6 because that line passes through all coordinates with 6 as the y-value.
If the question asked you to find the equation of the line that passes through the points (6, -1) and (6,2), the equation would be x=6 because that line passes through all coordinates with 6 as the x-value. Look at the coordinate pairs; both have 6 as an x-value, so it must be x=6.
