Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Include your work in your final answer.

Sure, let's find the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4).

Step 1: Find the slope (m) of the line. The formula to find the slope between two points (x1, y1) and (x2, y2) is (y2 - y1) / (x2 - x1).

So, m = (4 - 5) / (-1 - (-3)) = -1 / 2 = -0.5

Step 2: Use the point-slope form of the equation of a line, which is y - y1 = m(x - x1). You can use either of the given points for (x1, y1). Let's use (-3, 5).

So, the equation is y - 5 = -0.5(x - (-3)).

Step 3: Simplify the equation.

y - 5 = -0.5x - 1.5

So, the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4) is y - 5 = -0.5x - 1.5.