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Find the equation of the line that has a slope of 2/3 and passes through the point (-3,5).

  1. y = -2/3x + 10

  2. y = 2/3x + 7

  3. y = 2/3x - 5

  4. y = -2/3x - 5

The correct answer is: y = 2/3x + 7

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. In this question, we are given the slope of 2/3 and a point (-3,5) that the line passes through. To find the y-intercept, we substitute the given slope and point into the slope-intercept form equation and solve for b. So, using (-3,5) and 2/3 for x and y respectively 5 = (2/3)(-3) + b 5 = -2 + b b = 7 Therefore, the equation of the line is y = 2/3x + 7, making B the correct answer. For the other choices: A) y = -2/3x +