Question

Write the standard form of the equation of a line with slope=-4 and through the point (2, 2)

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Answer 1

The point-slope form of the equation of a line with slope m through point (h, k) can be written as

... y = m(x -h) +k

For your problem, where m = -4 and (h, k) = (2, 2), this becomes

... y = -4(x -2) +2

... y = -4x +8 +2 . . . . eliminate parentheses

... 4x +y = 10 . . . . . . .add 4x to put into standard form