{"id":79,"date":"2019-02-06T17:31:12","date_gmt":"2019-02-06T17:31:12","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/coursedemo-collegealgebracoreq\/chapter\/introduction-writing-equations-of-lines\/"},"modified":"2021-06-22T20:18:09","modified_gmt":"2021-06-22T20:18:09","slug":"introduction-writing-equations-of-lines","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/ntcc-collegealgebracorequisite\/chapter\/introduction-writing-equations-of-lines\/","title":{"raw":"2.2: Introduction to Equations of Lines","rendered":"2.2: Introduction to Equations of Lines"},"content":{"raw":"

What you\u2019ll learn to do: Evaluate linear equations<\/h2>\r\nNow that we have learned how to plot points on a coordinate plane and graph linear equations, we can begin to analyze the equations of lines and evaluate\u00a0the different characteristics\u00a0of these lines. In this section, we will learn about the commonly used forms for writing linear equations and the properties\u00a0of lines that can be determined from their equations.\r\n\r\nFor example, without creating a table of values, you will be able to match each equation below to its corresponding graph. You will also be able to explain the similarities and differences of each line, how they relate to each other, and why they behave that way.\r\n\r\n\"\"\r\n\r\n \r\n\r\n(a) [latex]y=3x+2[\/latex]\r\n\r\n(b) [latex]y-4=-\\frac{1}{2}(x+2)[\/latex]\r\n\r\n(c) [latex]x=5[\/latex]\r\n\r\n(d) [latex]y=-2[\/latex]\r\n\r\n(e) [latex]3x=y+1[\/latex]\r\n\r\n(f) [latex]2y-3x=6[\/latex]","rendered":"

What you\u2019ll learn to do: Evaluate linear equations<\/h2>\n

Now that we have learned how to plot points on a coordinate plane and graph linear equations, we can begin to analyze the equations of lines and evaluate\u00a0the different characteristics\u00a0of these lines. In this section, we will learn about the commonly used forms for writing linear equations and the properties\u00a0of lines that can be determined from their equations.<\/p>\n

For example, without creating a table of values, you will be able to match each equation below to its corresponding graph. You will also be able to explain the similarities and differences of each line, how they relate to each other, and why they behave that way.<\/p>\n

\"\"<\/p>\n

 <\/p>\n

(a) [latex]y=3x+2[\/latex]<\/p>\n

(b) [latex]y-4=-\\frac{1}{2}(x+2)[\/latex]<\/p>\n

(c) [latex]x=5[\/latex]<\/p>\n

(d) [latex]y=-2[\/latex]<\/p>\n

(e) [latex]3x=y+1[\/latex]<\/p>\n

(f) [latex]2y-3x=6[\/latex]<\/p>\n\n\t\t\t

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Candela Citations<\/h3>\n\t\t\t\t\t
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CC licensed content, Original<\/div>