So, the equations of the given two lines are parallel. The above two equations differ only in the constant term. Now, let us compare the equations of two lines, Let us write the equation of the second line in general form. In the equations of the given two lines, the equation of the second line is not in general form. Verify, whether the following equations of two lines are parallel. The required line is passing through (2, 3). Then, the equation of the required line is To find the value of k, equate the coefficients of x.įind the equation of a straight line is passing through (2, 3) and parallel to the line 2x - y + 7 = 0.īecause the required line is parallel to 2x - y + 7 = 0, the equation of the required line and the equation of the given line 2x - y + 7 = 0 will differ only in the constant term. If the two lines are parallel, then their general forms of equations will differ only in the constant term and they will have the same coefficients of x and y. If the following equations of two lines are parallel, then find the value of k. If two lines are parallel, then their slopes are equal. If the two lines are parallel, find the value of k. The slopes of the two lines are 7 and (3k + 2). The figure given below illustrates the above situation. If the two lines are parallel, the angle between them and the positive side of x-axis will be equal. (iv) Condition for the lines to be parallel in terms of angle of inclination. If the two lines are parallel, then their slope-intercept form equations will will differ only in the "y"- intercept. Let us consider the slope intercept form of equation of a straight line. (iii) Condition for the lines to be parallel in terms of their slope-intercept form of equations. If the two lines are parallel, then their general forms of equations will differ only in the constant term and they will have the same coefficients of x and y. Let us consider the general form of equation of a straight line. (ii) Condition for the lines to be parallel in terms of their general form of equations. If the two lines are parallel, then their slopes will be equal. Let m 1 and m 2 be the slopes of two lines. (i) Condition for the lines to be parallel in terms of their slopes.
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