By: Yecenia Anahi Juanita Cierra Ssisly The Slope of a line is determined by the ratio 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑦 between any 𝑐ℎ𝑎𝑛𝑔𝑒 𝑖𝑛 𝑥 two points that lie on the line. All linear relationships have a constant rate of change. The slope of a line is what determines how steep or flat it looks on a graph . Anahi Perales Linear Equation: an equation whose graph is a line Y-Intercept- the ycoordinate of the point where a line crosses the y-axis Slope-Intercept Form- x=mx+b where m=slope & b=y-intercept Anahi Perales Formula for slope interceptform = y = mx + b RATE OF CHANGE & SLOPE In Algebra, slope is defined as the rise over the run. This is written as a fraction like this SLOPE= RISE RUN Slope Formula: SSISLY GARCIA The rise is how much you rise in the graph . It tells you how much to go up or down. The run is how much you move to the left or right in the graph If line goes up from LEFT TO RIGHT SSISLY GARCIA , it’s called a POSITIVE SLOPE. If line goes from RIGHT TO LEFT , it’s called a NEGATIVE SLOPE. Graph a line with a slope of 1 and a yintercept of -4 Series 3 4-5 Series 2 3-4 2-3 1-2 0-1 0 Category 1 Cierra Suire Category 2 Category 3 Series 1 Category 4 𝐘 = 𝐗 + 𝟒 =? Slope= 1 Y INTERCEPT = +4 Cierra Suire The slope of a line is the ratio of the change in y over the change in x. Simply put, find the difference of both the y and x coordinates and place them in a ratio. Pick two points on the line. Because you are using two sets of ordered pairs both having x and y values, a subscript must be used to distinguish between the two values. Juanita Lozano In general slope intercept formula is y=mx+b. *m-slope of a line *b- the y-intercept Juanita Lozano y=5x+3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and a y-intercept of 3 . y= −2x + 6 represents the equation of a line with a slope of −2 and a yintercept of 6 . The average lifespan of American women has been tracked, and the model for the data is y = 0.2t + 73, where t = 0 corresponds to 1960. Explain the meaning of the slope and yintercept. What was the slope? It is m = 0.2 because it increase by 1 in the input variable t (that is for every year that it increases) the value of the output y would increase by 0.2 Yecenia Hernandez http://www.mathwords.com/s/slope_intercept_equation_of_a_line.htm http://www.algebra-class.com/calculating-slope.html http://www.khanacademy.org/math/algebra/linear-equations-andinequalitie/v/slope-of-a-line http://www.xtranormal.com/xnmm/landing/ http://www.purplemath.com/modules/slope.htm