The x-intercept -2 is and the y-intercept is 3
Here, we are tasked by finding the x-intercept and the y-intercept of the given straight line
The x-intercept is the point on the graph where we have the coordinates as (x,0)
What this mean is that at the x-intercept, the value of y = 0
Thus by substituting y = 0 into the equation, we can get the value of the x-intercept
Making the substitution, we have
3x - 2(0) = -6
3x = -6
x = -6/3
x = -2
The y-intercept is the point on the graph where we have the coordinates as (0,y)
What this mean is that at the y-intercept, the value of x = 0
Thus by substituting x = 0 into the equation, we can get the value of the y-intercept
Making the substitution, we have
3(0) - 2y = -6
-2y = -6
divide both sides by -2
y = -6/-2
y = 3