M.L Aggarwal book Important Question of class 10 chapter Based on Equation of a Straight Line for ICSE BOARD.
Here equation a line is given. You have to find the slope of this line and the intercept made by it on the y-axis
This is the Question Number 16, Exercise 12.2 of M.L Aggarwal.
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The equation of a line is y = 3x – 5. Write down the slope of this line and the intercept made by it on the y-axis. Hence or otherwise, write down the equation of a line which is parallel to the line and which passes through the point (0, 5).
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Given line: y = 3x – 5
Here slope (m1) = 3
Substituting x = 0, we get y = – 5
Hence, the y-intercept = – 5
Now, the slope of the line parallel to the given line will be 3 and it passes through the point (0, 5).
Thus, equation of the line will be
y – y1 = m (x – x1)
y – 5 = 3 (x – 0)
y = 3x + 5