Graph the line with slope −13 passing through the point −5, 2.

Step 1: Identify the slope and the point The slope (m) is given as -13 and the point (x₁, y₁) is given as (-5, 2).

Step 2: Use the point-slope form of a line The point-slope form of a line is y - y₁ = m(x - x₁). Substituting the given values, we get y - 2 = -13(x - (-5)).

Step 3: Simplify the equation Simplify the equation to get y - 2 = -13x - 65.

Step 4: Rearrange the equation Rearrange the equation to the slope-intercept form (y = mx + b) to get y = -13x - 63.

Step 5: Graph the line Plot the point (-5, 2) on the graph. From this point, move down 13 units (because the slope is -13) and to the right 1 unit (because the run is always 1). Draw a line through these points to graph the line.