1.1 Integers and Rational Numbers

11.1. Writing Linear Equations in Slope-Intercept Form www.ck12.orgThe problem gives the slope of the equation and a point on the line.The bamboo grows at a rate of 12 inches per day, so m = 12.We are told that the plant grows to 720 inches in 60 days, so we have the point (60, 720).Start with the slope-intercept form of the line.y = mx + bSubstitute 12 for the slope.y = 12x + bSubstitute the point (60,720). 720 = 12(60) + b ⇒ b = 0Substitute the value of b back into the equation.y = 12xTo answer the question, substitute the value x = 12 to obtain y = 12(12) = 144 inches.Practice SetSample explanations for some of the practice exercises below are available by viewing the following video. Notethat there is not always a match between the number of the practice exercise in the video and the number of thepractice exercise listed in the following exercise set. However, the practice exercise is the same in both. CK-12 Basic Algebra:Linear Equations inSlope InterceptForm (14:58)MEDIAClick image to the left for more content.1. What is the formula for slope-intercept form? What do the variables m and b represent?2. What are the five steps needed to determine the equation of a line given the slope and a point on the graph (notthe y−intercept)?3. What is the first step of finding the equation of a line given two points?Find the equation of the line in slopeintercept form.4. The line has slope of 7 and y−intercept of -2.5. The line has slope of -5 and y−intercept of 6.6. The line has slope = −2 and ay−intercept = 7.7. The line has slope = 2 3 and ay−intercept = 4 5 .8. The line has slope of − 1 4and contains point (4, -1).9. The line has slope of 2 3 and contains point ( 12 ,1) .10. The line has slope of -1 and contains point ( 45 ,0) .11. The line contains points (2, 6) and (5, 0).12. The line contains points (5, -2) and (8, 4).214