MATH 114N (MATH114N)

1. (3 points) Find the equation of the line through the points (−1, 5) and (2, −4) in slope- intercept form. Solution. To find the equation, we first use the points (x1, y1) = (−1, 5) and (x2, y2) = (2, −4) to find the slope, and then use point-slope form. First: m = y2 − y1 = −4 − 5 = −9 = −3 x2 − x1 Now, we use point-slope form: 2 − (−1) 3 y − y1 = m(x − x1) y − 5 = −3(x − (−1)) y − 5 = −3x − 3 + 5 = + 5 y = ...

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