Aus Online Mathematik Brückenkurs 1

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Two straight lines are parallel if they have the same slope. From the line <math>y=3x+1</math>, we can read off that it has a slope of 3 (the coefficient in front of ''x''), and hence the equation we are looking for has an equation of the form {{Abgesetzte Formel||<math>y=3x+m\,,</math>}} where ''m'' is a constant. The condition that the line should also contain the point (-1,2) means that the point should satisfy the equation of the line {{Abgesetzte Formel||<math>2=3\cdot (-1)+m\,,</math>}} which gives <math>m=5</math>. Hence, the equation of the line is <math>y=3x+5</math>. <center>[[Image:S1_2_2_5_c.jpg]]</center>

• 2.2.5c - Solution - The line y = 3x + 1 and the line y = 3x + 5 through the point (-1,2)
• Vorlage:Abgesetzte Formel

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