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 set one variable equal to zero and solve for the other variable.
1.5x + 6y = -30:
To find the x-intercept, set y = 0 and solve for x:
1.5x + 6(0) = -30
1.5x = -30
x = -20
So, the x-intercept is (-20, 0).
To find the y-intercept, set x = 0 and solve for y:
1.5(0) + 6y = -30
6y = -30
y = -5
So, the y-intercept is (0, -5).
2x - 4y = -16:
To find the x-intercept, set y = 0 and solve for x:
2x - 4(0) = -16
2x = -16
x = -8
So, the x-intercept is (-8, 0).
To find the y-intercept, set x = 0 and solve for y:
2(0) - 4y = -16
-4y = -16
y = 4
So, the y-intercept is (0, 4).
-3x + 4y = 12:
To find the x-intercept, set y = 0 and solve for x:
-3x + 4(0) = 12
-3x = 12
x = -4
So, the x-intercept is (-4, 0).
To find the y-intercept, set x = 0 and solve for y:
-3(0) + 4y = 12
4y = 12
y = 3
So, the y-intercept is (0, 3).
The x and y intercepts for each equation are:
1. x-intercept: (-20, 0), y-intercept: (0, -5)
2. x-intercept: (-8, 0), y-intercept: (0, 4)
3. x-intercept: (-4, 0), y-intercept: (0, 3)