Presentation on theme: "Warm Up… Solve each equation for y."— Presentation transcript:
1Warm Up… Solve each equation for y. y – 5 = 4x (2) y + 2x = (3) 2y + 6 = -8xCalculate the slope given the two points.(4) (-4, 4) and (2, -5) (5) (0, -1) and (1, -6)
2#6.2 - Graphing Linear Equations In Slope-Intercept FormObjective: SWBAT graph linear equations
3A linear equation graph will always create a line. Linear equations are in the form y = mx + b or can be rewritten into the form y = mx + b.In this section, instead of making a table, evaluating y for each x, plotting the points and making a line, we will use The Slope-Intercept Form of the equation to graph the line.
4Notice that these equations are all solved for y. These equations are all in Slope-Intercept Form:Notice that these equations are all solved for y.
5y = mx + b Formula for Slope – Intercept Form ‘b’ is the y-intercept (the point where the graph crosses the y – axis)‘m’ is the slope
6Just by looking at an equation in this form, we can draw the line (no tables). The constant is the y-intercept.The coefficient is the slope.Constant = 1, y-intercept = 1.Coefficient = 2, slope = 2.Constant = -4, y-intercept = -4.Coefficient = -1, slope = -1.Constant = -2, y-intercept = -2.Coefficient = 3/2, slope = 3/2.