Graph the line with the equation

Question

�
=
−
1
2
�
−
1
y=−
2
1
​
x−1.

Answer 1

To graph the line with equation y = -1/2 x - 1, we can start by plotting the y-intercept at -1 on the y-axis. This means that when x = 0, y = -1.

Next, we can use the slope of -1/2 to find additional points on the line. The slope is the "rise over run," which means that for every 2 units we move to the right (run), we need to move 1 unit down (rise).

Starting from the y-intercept at (-1, 0), we can move 2 units to the right and 1 unit down to reach the point (-1 + 2, 0 -1) = (1, -1). This gives us another point on the line.

We can continue this process to find more points, but two points are enough to draw a straight line. Plotting these two points and drawing a line through them, we get:

graph{y=-1/2x-1 [-10, 10, -5, 5]}