Bellwork 1)If 2x + 5y = -20 and x = 0, what is y? 2)What is the slope of the line containing the points (2, 7) and (3, -7)? 3)Orphelia bought x apples.

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Presentation transcript:

Bellwork 1)If 2x + 5y = -20 and x = 0, what is y? 2)What is the slope of the line containing the points (2, 7) and (3, -7)? 3)Orphelia bought x apples. If each apple cost $0.59, write an equation for y, the total cost of x apples.

Lesson 3.5 Write and Graph Equations of Lines

Objective Find Equations of Lines

Standard Prep for 17.0 – Students prove theorems by using coordinate geometry, including the midpoint of a line segment, the distance formula, and various forms of equations of lines and circles

Slope-Intercept Form y = mx + b slope y-coordinate of y-intercept (0, b)

How to graph slope-intercept form Plot y-intercept (0, b) and apply slope

Example

Practice Write the equation

The real world?

Standard Form Ax + By = C coefficients constant variables

How to graph in Standard Form 1) Substitute x = 0 to find y-intercept (0, y) 2) Substitute y = 0 to find x-intercept (x, 0) 3) Connect dots with a line

Example Graph 3x + 4y = 12

The real world

Homework p.184 #1, 2, 3, 9, 11, 17, 23, 33, 45, 61