Questions: Step 1: Identify the slope y-intercept of the line. What is the slope of this line? y = -3/2 x + 4

Solution Steps

To identify the slope of the line given in the equation \( y = -\frac{3}{2}x + 4 \), we need to recognize the standard form of a linear equation, which is \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. By comparing the given equation to the standard form, we can directly identify the slope.

The given equation of the line is

\[ y = -\frac{3}{2}x + 4 \]

In this equation, the slope \( m \) is the coefficient of \( x \). By comparing the equation to the standard form \( y = mx + b \), we find that

\[ m = -\frac{3}{2} \]

To express the slope in decimal form, we calculate

\[ -\frac{3}{2} = -1.5 \]

Final Answer