1. y = -1
find the intercepts for the graph.
2. x = -1
find the intercepts for the graph.
1. y = -1 is a horizontal line and intercepts the y axis at (0,-1). Because it is horizontal it does not intercept the x-axis.
2. X = -1 is a vertical line that intercepts the x axis at (-1,0). Because it is vertical it does not have a y-intercept
y=-1 is a horizontal line parallel to the x axis at y = -1.
x = -1 is a vertical line parallel to the y axis at x = -1
To find the intercepts for the graph of the equation y = -1, we need to determine the x-intercept and y-intercept.
1. X-intercept:
To find the x-intercept, we set y = 0 and solve for x. In this case, the equation is y = -1, so we substitute 0 for y:
0 = -1
No matter what value of x we have, we cannot have y as 0. Therefore, there is no x-intercept for this equation.
2. Y-intercept:
To find the y-intercept, we set x = 0 and solve for y. In this case, the equation is y = -1, so we substitute 0 for x:
y = -1
The value of y is always -1, regardless of the value of x. Therefore, the y-intercept is (0, -1).
Now, let's move on to the second equation: x = -1.
1. X-intercept:
To find the x-intercept, we set y = 0 and solve for x. In this case, the equation is x = -1, so we substitute 0 for y:
0 = -1
No matter what value of y we have, we cannot have x as 0. Therefore, there is no x-intercept for this equation.
2. Y-intercept:
To find the y-intercept, we set x = 0 and solve for y. In this case, the equation is x = -1, which doesn't have a y term. This means that the line is parallel to the y-axis and does not intersect it. Therefore, there is no y-intercept for this equation.
In summary:
For the equation y = -1, there is no x-intercept, and the y-intercept is (0, -1).
For the equation x = -1, there is no x-intercept and no y-intercept.