College Math CLEP Prep Practice Exam

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

y=2x+3
y=3x+2
y=4x+3
y=5x+2

The correct answer is: y=2x+3

This equation can be found using the slope-intercept form of the equation for a line, which is y=mx+b, where m is the slope and b is the y intercept. To find the slope, we need to calculate the rise over run or change in y over change in x by using the two given points. So, (6-4)/(-2-3)=2/-5=-2/5. Now, we plug in this slope and one of the given points, (3,4), into the slope-intercept equation to solve for b. 4=(-2/5)(3)+b, so b=6/5. Therefore, the equation of the line is y=-2/5x+6/5, which is equivalent to y=2x+3 after simplifying the fractions. Option B, y=3x+2,