How do you graph the line given (2, -1) with slope of 3?

Question

How do you graph the line given  (2, -1) with slope of 3?

Savannah Anderson · Accepted Answer

You plot the coordinates then use the slope of #3# as #3/1#

To plot the point, move #2# to the right on the #x#-axis then #1# down (#y#-axis). Then look at the slope. #3# is also equal to #3/1# (3 over 1) as a fraction.

In a fraction there are two parts, the numerator (top number in this case #3#) and the denominator (bottom number in this case #1#).

The numerator shows the rise (number of spaces you go along the #y#-axis) and the denominator shows the run (number of spaces you go along the #x#-axis).

So from the point #(2,-1)#, you go up (since it is a positive slope) #3# spaces and to the right #1# space.

graph{3x-7 [-10, 10, 5, 5, 5]}.

Isaiah Anthony · Answer

undefined To graph the line with a slope of 3 passing through the point (2, -1), you start by plotting the point (2, -1) on the coordinate plane. Then, from that point, you use the slope to find another point on the line. Since the slope is 3, it means that for every increase of 1 unit in the x-direction, the line rises by 3 units in the y-direction. So, from the point (2, -1), you can go up 3 units and over 1 unit to find another point on the line. After plotting this second point, you can draw a straight line passing through both points to represent the graph of the line.