College Algebra CLEP Prep Practice Exam

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What is the equation of the line that passes through the points (2,4) and (6,14)?

y = 2x + 2
y = 4x + 2
y = 2x + 4
y = 4x + 4

The correct answer is: y = 4x + 2

The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept. When given two points on a line, we can use the slope formula to find the slope of the line. In this case, the points (2,4) and (6,14) can be plugged into the formula m = (y2 - y1)/(x2 - x1). Doing so, we get m = (14 - 4)/(6 - 2) = 10/4 = 5/2. From this, we know that the slope of the line is 5/2. Now, to find the y-intercept, we can choose either of the given points and plug it into the equation y = mx + b. Let's choose (2,4) and solve