Answer:
x-intercept: (-4, 0)
y-intercept: (0, 6)
Explanation:
The x-intercept of the function is the value of x where the function crosses the x-axis. In other words it is the value of x when the function value (y-value) is 0
The y-intercept of the function is the value of y where the function crosses the y-axis. In other words it is the value of y when the x-value is 0
Function is -3x + 2y
To find the y-intercept, set x = 0 and solve for y:
At x = 0, we get -3(0) + 2y = 12
0 + 2y = 12
y = 6 (by dividing both sides by 2)
So y-intercept = 6
To get the x intercept, set y = 0 and solve for x
At y = 0 we get -3x + 2(0) = 12
-3x + 0 = 12
-3x = 12
x = 12/-3
x = -4
So x-intercept = -4
So the coordinate points forx-intercept: (-4, 0)
y-intercept: (0, 6)
x-intercept: (-4, 0)
y-intercept: (0, 6)
The attached graph makes it visually clear