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What is the standard form of the equation of the line that passes through the point (4, -3) and has a slope of 1?

  1. y = 4x - 3

  2. y = x + 7

  3. y + 3 = x + 4

  4. y = x + 4

The correct answer is: y = x + 4

The standard form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, we are given a point (4, -3) which satisfies the equation and a slope of 1. Therefore, we can substitute these values into the standard form equation and solve for the y-intercept b. y = mx + b -3 = 1(4) + b -3 = 4 + b b = -7 So the equation of the line in standard form is y = x - 7. Option A is incorrect because it has a different slope and y-intercept. Option B is incorrect because it has a different slope and a different y-intercept. Option C is incorrect because it is not in standard form. Therefore, option D is the only correct answer.