How do you find the slope and y intercept to sketch #y=3x -1#?
1 Answer
For the line
Explanation:
Slope intercept form
In slope intercept form,
In this case,
To graph this line, plot the y-intercept we just found by going one unit down from the origin along the y-axis. Then use the slope to graph a few more points. The slope is
A positive slope means your points will be [numerator of slope] units up and [denominator of slope] units right, OR [numerator of slope] units down and [denominator of slope] units left. These two methods for positive slopes work because a positive divided by a positive is a positive, and a negative divided by a negative is also a positive.
Using this reasoning, we can plot another point in the opposite direction by going 3 units down and 1 unit to the left of the y-intercept, which would be
graph{3x-1 [-10, 10, -5, 5]}