Question

Through (-2,5)
and (2, 1)

Answer 1

x + y = 3

Explanation:

The equation of a line through two points can be found using the 2-point form for the equation of a line:

y -y1 = (y2 -y1)/(x2 -x1)(x -x1) . . . . . line through points (x1, y1) and (x2, y2)

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y -5 = (1 -5)/(2 -(-2))(x +2) . . . . using points (-2, 5) and (2, 1)

y -5 = (-4/4)(x +2)

y -5 = -(x +2) . . . . . . equation in point-slope form

y -5 = -x -2

y = -x +3 . . . . . . . . . equation in slope-interept form

x + y = 3 . . . . . . . . . equation in standard form