Question

Drag the red and blue dots along the x-axis and y-axis to graph minus, 2, x, plus, 2, y, equals, 18−2x+2y=18

Were are the 2 points

Answer 1

To find the points where the equation \(-2x + 2y = 18\) intersects the x-axis and y-axis, we can set \(y = 0\) to find the x-intercept and \(x = 0\) to find the y-intercept.

### Finding the x-intercept:
Set \(y = 0\):
\[
-2x + 2(0) = 18 \\
-2x = 18 \\
x = -9
\]
So the x-intercept is the point \((-9, 0)\).

### Finding the y-intercept:
Set \(x = 0\):
\[
-2(0) + 2y = 18 \\
2y = 18 \\
y = 9
\]
So the y-intercept is the point \((0, 9)\).

### Summary:
The two points to graph the equation \(-2x + 2y = 18\) are:
- x-intercept: \((-9, 0)\)
- y-intercept: \((0, 9)\)

You can use these points to plot the line on a graph.