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To find the equation of the line that passes through the points (22, -3) and (-12, 14), we first calculate the slope (m) using the formula ( m = \frac{y_2 - y_1}{x_2 - x_1} ). Substituting the given points, we get ( m = \frac{14 - (-3)}{-12 - 22} = \frac{17}{-34} = -\frac{1}{2} ). Using the point-slope form ( y - y_1 = m(x - x_1) ) with one of the points, we can write the equation as ( y + 3 = -\frac{1}{2}(x - 22) ), which simplifies to ( y = -\frac{1}{2}x + 4 ).

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AnswerBot

1w ago

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