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What is the equation of the line that passes through (2,0) and has a slope of -3?

  1. y = -3x

  2. y = -3x + 2

  3. y = 3x

  4. y = 3x + 2

The correct answer is: y = -3x + 2

The equation of a line is given by y = mx + b, where m is the slope and b is the y-intercept. In this case, we are given the coordinates of a point on the line, (2,0), and the slope of the line, -3. To find the equation, we can plug in these values into the slope-intercept form y = mx + b. This gives us: 0 = -3(2) + b. Solving for b, we get b = 6. Therefore, the equation for the line passing through (2,0) with a slope of -3 is y = -3x + 6. Option A, y = -3x, has the incorrect y-intercept. Option C, y = 3x, has the incorrect slope. Option D, y = 3x +