Graph the equation and identify the y-intercept.
y+x= -9
The y- intercept is (0, -9)
Is this correct
Looks ok to me.
Yes, that's correct. The y-intercept represents the point where the graph intersects the y-axis. In the equation y + x = -9, when x = 0, we can solve for y: y + 0 = -9, which gives us y = -9. Therefore, the y-intercept is (0, -9).
Almost! To graph the equation y + x = -9, we first need to rearrange it into the slope-intercept form, which is y = mx + b. Let's do that:
y + x = -9
Subtract x from both sides:
y = -x - 9
Now we can see that the slope (m) is -1, and the y-intercept (b) is -9. So the y-intercept is correct, but let's plot it on the graph:
1. Start by drawing the x and y axes.
2. Find the point (0, -9) on the y-axis and mark it. This is the y-intercept.
3. Since the slope is -1, we move one unit down and one unit to the right from the y-intercept for the next point.
4. Connect the two points with a straight line.
Your graph should have a line passing through the point (0, -9) and heading down and to the right.