Graph the line with the given point and slope. Find the two coordinates.

The line through ​(1​, -1​) with slope 3/2.

1 answer

To graph the line, we start by plotting the given point (1, -1).

Next, we use the slope, which is 3/2, to find the coordinates of another point on the line. The slope of a line represents the change in y divided by the change in x.

Since the slope is positive, we can move up 3 units in y and right 2 units in x from the given point (1, -1) to get another point on the line.

Starting from (1, -1):
Move up 3 units in y: y-coordinate = -1 + 3 = 2
Move right 2 units in x: x-coordinate = 1 + 2 = 3

So another point on the line is (3, 2).

Now we can plot this second point (3, 2):

|
|
(3,2)|
|
----------(1, -1)----------
|
|

Joining these two points, we can draw a straight line.