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### High School Mathematics9.7 Parallel Line - Slope

 Any two lines are parallel if and only if their slopes are equal. Example: y = 2x + 3 and 2y = 4x + 7, check the given two lines are parallel. Solution: Given that, y = 2x + 3 ---------I 2y = 4x + 7 -------II First we find the slopes of the given lines, if the slopes of the lines are equal then the two lines are parallel. Slope of the first line, y = 2x + 3 This is in the form of y = mx + c Slope for this line is m m = 2 Therefore, the slope of the first line is 2. Slope for the second line, i.e., 2y = 4x + 7 Convert this line in the form of y = mx + c y = (4/2)x + 7/2. y = 2x + 7/2 Slope m = 2 The slope of the second line is 2 Therefore, the slopes of two lines are equal so the given lines are parallel. Directions: Check if the given lines are parallel. Also draw at least 5 parallel lines and show that their slopes are equal.
 Q 1: 8y = 4x + 2 and 6y = 3x + 7 given lines are parallel correct it.Not correctCorrect Q 2: y = 4x + 3 and 2y = 8x + 6 given lines are parallel correct it.Not correctCorrect Q 3: 3y = 6x + 7 and 2y = 4x + 3 given lines are parallel correct it.CorrectNot correct Q 4: 3y = 3x + 2 and 9y = 3x + 2 given lines are parallel correct it. Not correctCorrect Q 5: 4y = 2x + 3 and 3y = 5x + 7 given lines are parallel correct it.Not correctCorrect Q 6: 3y = 4x + 3 and 3y = 2x + 6 given lines are parallel correct it.Not correctCorrect Question 7: This question is available to subscribers only! Question 8: This question is available to subscribers only!