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Published byAleesha Tyler Modified over 9 years ago

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**Graphing and Writing Equations in Slope-Intercept Form**

Algebra 1 CC Graphing and Writing Equations in Slope-Intercept Form

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**The three forms of writing a linear equation that we will cover this week**

Slope-Intercept form Standard Form Point-Slope Form

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Example 1 Write an equation of the line shown

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Example 2 Write an equation of the line that passes through the points (4, -2) and (-2, 2)

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Example 3 Write the equation of the line that passes through the point (-4, -9) and has a slope of 2.

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**Graphing a Linear Equation**

Step 1: Rewrite the equation in slope-intercept form (if necessary). Step 2: Identify the slope and y-intercept Step 3: Plot the y-intercept Step 4: Use the slope to plot a second point and then draw a line through the two points. It is optional, but highly recommended to draw more than two points to graph a linear equation

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Example 4 & 5 Identify the slope and y-intercept of the line with the given equations and then graph the equations. 4) ) 4x – 3y = 15

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Example 6 Write an equation for the linear function f with the given values f(6) = -4, f(9) = -9

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**Two lines in the same plane are parallel if they do not intersect.**

Parallel lines have the same slope. Two lines in the same plane are perpendicular if they intersect to form a right angle. Perpendicular lines have slopes that are opposite reciprocals.

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Example 7 Tell whether the following graphs are parallel, perpendicular, or neither. y = 2x + 4 4x + 2y = 12

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Example 8 Tell whether the following graphs are parallel, perpendicular, or neither. 3x + 4y = 24 -4x + 3y = 20

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