Answer: the standard form of the equation of the line is -3x + 2y = -4.
Explanation:
The slope-intercept form of the equation of a line is given by: y = mx + b, where m is the slope of the line and b is the y-intercept.
In this case, the slope is 3/2 and the y-intercept is -2. So we can write the equation in slope-intercept form as:
y = (3/2)x - 2
To convert this equation to standard form, we want to write it in the form Ax + By = C, where A, B, and C are constants. To do this, we can start by multiplying both sides of the equation by 2 to get rid of the fraction:
2y = 3x - 4
Next, we can rearrange the terms to get all the variables on one side and the constants on the other:
-3x + 2y = -4
So the standard form of the equation of the line is -3x + 2y = -4