Graphing Linear Equations

y = mx + b slope y-intercept You know slope intercept form is given by the following formula: y = mx + b slope y-intercept

y = mx + b 1) y = 3x + 4 2) y = ⅔x – 3 3) y = -5 + 8x slope Find the slope and y-intercept of each of the following linear equations: slope y = mx + b y-intercept 1) y = 3x + 4 2) y = ⅔x – 3 3) y = -5 + 8x

slope y = mx + b y-intercept The y – intercept tells us where to start on the y axis. What is the y-intercept of this equation? right 1 up 2 right 1 up 2 The slope tells us where to go! m = What is the slope of this equation? rise run

Great job! Remember, the steps for graphing a linear equation are: Use b, the y-intercept, to find your starting place. Use m, the slope, to make your line. m = m = rise run

slope y = mx + b y-intercept The y – intercept tells us where to start on the y axis. What is the y-intercept of this equation? The slope tells us where to go! m = What is the slope of this equation? rise run down 1 down 1 right 1 right 1

slope y = mx + b y-intercept The y – intercept tells us where to start on the y axis. What is the y-intercept of this equation? right 2 up 3 The slope tells us where to go! m = What is the slope of this equation? right 2 up 3 rise run

Writing Linear Equations

To write a linear equation, we work backward! slope y = mx + b y-intercept How do I find the slope and the y-intercept?

Let’s start with b, the y-intercept! Look at where the graph crosses the y axis. y = mx + ___

Now let’s find m, the slope! Look at where the graph crosses the y axis. y = ___x + -2 right 1 up 2 rise run ___ right 1 = = up 2

You did it! rise run Steps for writing a linear equation: Look where the line starts on the y axis to find the y-intercept, b. 2) Find the and simplify to find the slope, m. rise run

Write an equation for the following lines: y = ___x + ___ y = ___x + ___