College Math CLEP Prep Practice Exam

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Find the equation of the line that passes through point (5, 4) and is parallel to y=-3x+2

y=-3x+2
y=-3x+7
y=-3x-6
y=3x+2

The correct answer is: y=-3x+7

The equation given in choice B, y=-3x+7, is the correct equation. This is because the equation y=-3x+2 is the original equation given and represents a line with a slope of -3. Therefore, any line that is parallel to this one must also have a slope of -3. The equation for a line with a slope of -3 that passes through the point (5,4) can be found using the point-slope formula, which is y-y1 = m(x-x1). Substituting the values for the point (5,4) and the slope -3, we get y-4 = -3(x-5). Solving for y gives us the equation y=-3x+7, which is equivalent to choice B. The other options are incorrect because they either have a different slope or do not pass through the given point