Final answer:
The point-slope form requires a given point and a slope to create a unique equation of a line. With only the slope of 3/2, a complete equation cannot be determined without knowing a point the line passes through.
Step-by-step explanation:
The point-slope form is used to create the equation of a line when you're given a point on the line and the slope of the line. If you only have the slope and no point, you cannot create a unique line because there are an infinite number of lines that can have the same slope but different positions. However, the general formula for point-slope form is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line.
If we assume the slope m to be 3/2, without a specific point you cannot generate a full equation. Nevertheless, assuming any point, let's say (1, 2) for example, the equation would be y - 2 = 3/2(x - 1). You would need a specific point to complete this equation.The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where m is the slope of the line and (x1, y1) is a point on the line.
In this case, the slope is 3/2, so the point-slope form would be:
y - y1 = (3/2)(x - x1)