Section 6-2 Slope-Intercept Form. How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept.

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Presentation transcript:

Section 6-2 Slope-Intercept Form

How to Graph a Linear Equation It must be in the slope – intercept form. Which is: y = mx + b slope y-intercept

Y - intercept Is where the point crosses the y – axis. When graphing you start your starting point on the y-axis

Graph the equation y = 3x-5 Before you graph you must answer the following: Is it in the form? Y-intercept? Is the slope positive or negative? What is the slope? Graph?

Graph the equation y = -1/2x +2 Before you graph you must answer the following: Is it in the form? Y-intercept? Is the slope positive or negative? What is the slope? Graph?

Graph the equation y+5 = 4x Before you graph you must answer the following: Is it in the form? Y-intercept? Is the slope positive or negative? What is the slope? Graph?

Write an linear equation for the following: m = 2/3, b = -5 m = -1/2 b = 0 m = 0, b = -2

Example: Does the point (8,4) lie on the line with the equation y = 3/4x - 2

Example – Write an equation for the line

What about slopes of zero? This is special situations!!! Horizontal Lines y = 3 (or any number) Lines that are horizontal have a slope of zero. They have "run", but no "rise". The rise/run formula for slope always yields zero since rise = 0. y = mx + b y = 0x + 3 y = 3 This equation also describes what is happening to the y-coordinates on the line. In this case, they are always 3.

What about slopes of no slope? This is special situations!!! Vertical Lines x = -2 (or any number) Lines that are vertical have no slope (it does not exist). They have "rise", but no "run". The rise/run formula for slope always has a zero denominator and is undefined. These lines are described by what is happening to their x- coordinates. In this example, the x-coordinates are always equal to -2.

Homework Pg every , 78a