Table of Contents Lines: Slope-Intercept Equation The slope-intercept equation of a line is y = mx + b. Here, m is the slope and b is the y-coordinate of the y-intercept on the line’s graph. Example 1:Find the slope and y-intercept of the line, 2x + 3y + 6 = 0. Solve for y:2x + 3y + 6 = 0 2x + 6 = - 3y or y = mx + b Inspect the equation to see that m = and b = - 2.

Table of Contents Lines: Slope-Intercept Equation Slide 2 The slope-intercept equation is y = 2x – 3. Example 2:Sketch the graph of the line, 2x – y = 3 using the slope-intercept equation. To quickly sketch the line, first plot the y-intercept, (0, - 3). Then use the slope, m = 2, and move 2 units up and 1 unit to the right to plot a second point. This can be repeated as often as needed. In fact, since additional points can be plotted by moving down 2 units and left 1 unit.

Table of Contents Lines: Slope-Intercept Equation Slide 3 Try: Find the slope and y-intercept of 3x – 4y = 24. The slope is and the y-intercept is (0, - 6).

Table of Contents Lines: Slope-Intercept Equation