College Algebra CLEP Prep Practice Exam

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What is the equation of the line that is parallel to the line y = 7x + 4 and passes through the point (2, -3)?

y = 7x - 7
y = 7x + 1
y = -7x - 7
y = -7x + 1

The correct answer is: y = 7x + 1

A line is parallel to another line if it has the same slope. In this case, the slope of the given line is 7. Therefore, any line that is parallel to it must also have a slope of 7. The equation y = 7x + b represents a line with a slope of 7 and a y-intercept of b. Since the line in question needs to pass through the point (2,-3), we can substitute the coordinates into the equation to solve for b. y = 7x + b, -3 = 7(2) + b, -3 = 14 + b, -17 = b. The equation y = 7x - 17 represents a line with a slope of 7 and a y-intercept of -17, which passes through the point (2,-3). This is the equation that is parallel to