I need to find the x and y intercepts of these equations.
x - y = -3
y = -2x - 1
x - y = -11/3
x = (-5/28)y + 1399/28
the x intercept is when y is zero.
the y intercept is when x is zero.
So for the first one..
would x intercept be -3 and the y intercept be 3?
To find the x and y intercepts of an equation, you need to understand what intercepts are. In a Cartesian coordinate system, the x-intercept is the point where a graph intersects the x-axis, and the y-intercept is the point where a graph intersects the y-axis. To find the x-intercept, you set y equal to zero and solve for x. To find the y-intercept, you set x equal to zero and solve for y. Let's go through each of the given equations to find their intercepts.
1. x - y = -3:
To find the x-intercept, set y equal to zero:
x - 0 = -3
Solve for x:
x = -3
So the x-intercept is (-3, 0).
To find the y-intercept, set x equal to zero:
0 - y = -3
Solve for y:
y = 3
So the y-intercept is (0, 3).
2. y = -2x - 1:
To find the x-intercept, set y equal to zero:
0 = -2x - 1
Solve for x:
2x = -1
x = -1/2
So the x-intercept is (-1/2, 0).
To find the y-intercept, set x equal to zero:
y = -2(0) - 1
y = -1
So the y-intercept is (0, -1).
3. x - y = -11/3:
To find the x-intercept, set y equal to zero:
x - 0 = -11/3
Solve for x:
x = -11/3
So the x-intercept is (-11/3, 0).
To find the y-intercept, set x equal to zero:
0 - y = -11/3
Solve for y:
y = 11/3
So the y-intercept is (0, 11/3).
4. x = (-5/28)y + 1399/28:
To find the x-intercept, set y equal to zero:
x = (-5/28)(0) + 1399/28
Solve for x:
x = 1399/28
So the x-intercept is (1399/28, 0).
To find the y-intercept, set x equal to zero:
0 = (-5/28)y + 1399/28
Solve for y:
(-5/28)y = -1399/28
y = 1399/5
So the y-intercept is (0, 1399/5).
In summary:
1. x - y = -3: x-intercept is (-3, 0) and y-intercept is (0, 3).
2. y = -2x - 1: x-intercept is (-1/2, 0) and y-intercept is (0, -1).
3. x - y = -11/3: x-intercept is (-11/3, 0) and y-intercept is (0, 11/3).
4. x = (-5/28)y + 1399/28: x-intercept is (1399/28, 0) and y-intercept is (0, 1399/5).