what is the graph of the equation 2×-y=2

1 answer

To graph the equation 2x - y = 2, we can rearrange the equation to the slope-intercept form y = mx + b.

Start by isolating y:
2x - y = 2
-y = -2x + 2
y = 2x - 2

Now we can identify the slope (m) and the y-intercept (b).
The slope (m) is 2, meaning that for every unit increase in x, y increases by 2.
The y-intercept (b) is -2, meaning that the line crosses the y-axis at y = -2.

Plot the y-intercept at (0, -2), and then use the slope to find additional points.
For example, starting from the y-intercept, move 1 unit to the right (increase x by 1) and move 2 units upward (increase y by 2). This gives a point (1, 0).

With these two points plotted, draw a straight line through them to represent the equation.

The graph of the equation 2x - y = 2 is a straight line that passes through the points (0, -2) and (1, 0).