5.1 Write Linear Equations in Slope‐Intercept Form Finding Slope Review Examples Find the slope of the line that passes through the given points. a) (4, 5), (2, 3) b) (0, ‐6), (8, 0) A linear equation of the form y = mx + b is written in _____________________ where m is the _____________ and b is the _____________________ of the equation’s graph. We can use this form of a line to write an equation of a line if you know its slope and y‐intercept. Example 1 Write an equation with the given slope and y‐intercept. a) slope = 4; y‐intercept = ‐7 b) slope =  3 ; y‐intercept = 2 5
If you know the point the graph crosses the y‐axis and any other point on the line, you can use it to find the slope. Example 2 Write an equation for each graph below. a) b) Example 3 Write an equation of the line passing through the points (0, 3) and (‐4, 11). When a quantity y changes at a constant rate with respect to a quantity x, you can use the equation ____________________ to model the relationship. The value of m is the constant rate of change, or ________________and the value b is the initial amount, or ________________. Example 4 A dance academy charges $20 to use the facility and $25 per hour of instruction. a) Write an equation that given the total cost to learn dance at the academy as a function of hours of instruction. b) Find the total cost of 2 hours of dance instruction. Homework: 5.1 Worksheet