Write the slope intercept form of the line that passes through the following two points: (3, -5) and (2, -1).

Sure, here are the steps to find the slope-intercept form of the line that passes through the points (3, -5) and (2, -1):

Step 1: Find the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1). Substitute the given points into the formula: m = (-1 - (-5)) / (2 - 3) = 4 / -1 = -4.

Step 2: Use the slope (m = -4) and one of the points (let's use (3, -5)) in the point-slope form of a line equation, y - y1 = m(x - x1).

Step 3: Substitute the values into the equation: y - (-5) = -4(x - 3).

Step 4: Simplify the equation to get it into slope-intercept form (y = mx + b): y + 5 = -4x + 12.

Step 5: Subtract 5 from both sides to solve for y: y = -4x + 7.

So, the slope-intercept form of the line that passes through the points (3, -5) and (2, -1) is y = -4x + 7.