College Algebra CLEP Prep Practice Exam

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Prepare for the College Algebra CLEP Test with our comprehensive practice exam. Study with flashcards and multiple choice questions, each offering clues and detailed explanations. Achieve your best score and excel in your exam!

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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?

y = 4x - 3
y = x + 7
y + 3 = x + 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.