Question

In Exercises \(17-20,\) write the slope-intercept equation for the line with slope \(m\) and \(y\) -intercept \(b\) $$m=-1 / 2, \quad b=-3$$

Short answer

The slope-intercept equation of the line with slope -1/2 and y-intercept -3 is \(y = -1/2x - 3\).

Step-by-step solution

Identifying the Parameters

From the given equation, the slope of the line 'm' is identified as -1/2, and the y-intercept 'b' is -3. In the slope-intercept equation, \(y = mx + b\), replace 'm' with the provided slope, and 'b' with the provided y-intercept.

Substituting the Values

Substitute \(m = -1/2\) and \(b = -3\) in the equation \(y = mx + b\), which results in the equation \(y = -1/2x - 3\).

Final Equation

The final slope-intercept equation for the line with the given slope and \(y\)-intercept is \(y = -1/2x - 3\).