Final answer:
The gradient of the line is 3/2 and the y-intercept is -3.
Step-by-step explanation:
The equation of a straight line is typically given in the form y = mx + b, where m represents the gradient (or slope) of the line, and b represents the y-intercept.
Given the equation 3x - 2y - 6 = 0, we can rewrite it in the form y = mx + b by rearranging the equation:
3x - 2y - 6 = 0
-2y = -3x + 6
y = (3/2)x - 3
From this equation, we can see that the gradient (or slope) of the line is 3/2. This means that for every increase of 1 in the x-coordinate, the y-coordinate increases by 3/2.
The y-intercept is the value of y when x = 0. In this case, when x = 0, y = -3. Therefore, the y-intercept is -3.