How do you write an equation of the line in standard form with integer coefficients the line through -22 and 1-4?

To write the equation of the line in standard form (Ax + By = C) with integer coefficients, first find the slope (m) using the points (-22, 1) and (1, -4). The slope is calculated as ( m = \frac{-4 - 1}{1 - (-22)} = \frac{-5}{23} ). Next, use the point-slope form ( y - y_1 = m(x - x_1) ) with one of the points, say (1, -4), to get ( y + 4 = -\frac{5}{23}(x - 1) ). Rearranging this equation to standard form results in ( 5x + 23y = -83 ).