Find the x and y intercept of the equations.
1.5x+6y=-30
2.x-4y=-16
3.-3x+4y=12
How would I solve these and what is the anwsers
To find the x- and y-intercepts of an equation, you need to substitute either x = 0 or y = 0 and solve for the other variable.
1. 1.5x + 6y = -30:
To find the x-intercept, set y = 0:
1.5x + 6(0) = -30
1.5x = -30
x = -30/1.5
x = -20
So, the x-intercept is -20.
To find the y-intercept, set x = 0:
1.5(0) + 6y = -30
6y = -30
y = -30/6
y = -5
Thus, the y-intercept is -5.
2. x - 4y = -16:
To find the x-intercept, set y = 0:
x - 4(0) = -16
x = -16
Therefore, the x-intercept is -16.
To find the y-intercept, set x = 0:
0 - 4y = -16
-4y = -16
y = -16/-4
y = 4
Hence, the y-intercept is 4.
3. -3x + 4y = 12:
To find the x-intercept, set y = 0:
-3x + 4(0) = 12
-3x = 12
x = 12/-3
x = -4
The x-intercept is -4.
To find the y-intercept, set x = 0:
-3(0) + 4y = 12
4y = 12
y = 12/4
y = 3
Thus, the y-intercept is 3.
To summarize:
Equation 1: x-intercept = -20, y-intercept = -5.
Equation 2: x-intercept = -16, y-intercept = 4.
Equation 3: x-intercept = -4, y-intercept = 3.