College Algebra CLEP Prep Practice Exam

Question: 1 / 410

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 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.

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