January 13, 2016 Warm-Up:Warm-Up: As a DecimalAs a Fraction Change to a Percent.75 Solv e: Homework Writing Equations Using Slope-Intercept Form Worksheet Objective SWBAT write equations for situations that are not proportional. Write down the objective in your math journal in your own words. SLOPE-INTERCEPT FORM OF A LINE y = mx + b VOCABULARY Slope The ratio of vertical change to horizontal change (or rise to run) of a line. Y-intercept The point where the line crosses the y-axis, when x=0. y = mx + b The ratio of vertical change to horizontal change (or rise to run) of a line. The m in y=mx+b Line goes from the bottom left to the top right of a graph. Both x and y numbers in a table either increase or decrease The m in y=mx+b is positive Line goes from the top left to the bottom right of a graph. Either x or y numbers in a table decrease, while the other increases The m in y=mx+b is negative Line is horizontal x numbers in a table increase or decrease, while the y numbers remain the same The m in y=mx+b is zero, or there is no mx term in the equation Line is vertical x numbers in a table remain the same, while the y numbers increase or decrease The m in y=mx+b is divided by zero 1. Count the rise 2. Count the run. 3. Write it as a ratio (fraction): Rise Run Slope = 1. Count the rise (change in y values) 2. Count the run (change in x values) 3. Write it as a ratio (fraction): Slope = m = the coefficient of x b = the y value of the y-intercept All of the linear equations weve studied so far can be written in the form y = mx + b: Emile d = 2.5t m = b = Henri d = 45 + t m = b =