College Math CLEP Prep Practice Exam

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What is the equation of a line that passes through (3,6) and (-2,4)?

y = -5x + 10
y = -2x + 8
y = -3x + 8
y = 5x - 10

The correct answer is: y = -5x + 10

The equation of a line can be written in the form of y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of a line passing through two given points, we can use the formula m = (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are the coordinates of the two points. In this case, we have (x1,y1) = (3,6) and (x2,y2) = (-2,4). So, the slope of the line will be: m = (4-6)/(-2-3) = -2/-5 = 2/5. Now, we can substitute the slope (2/5) in the equation y = mx + b and the coordinates of one of the