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NCERT Class XI Mathematics - Straight Lines - Solutions
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Question : 35 of 74
Marks:
+1,
-0
Reduce the following equations into slope-intercept form and find their slopes and the y-intercepts. (i) x + 7y = 0, (ii) 6x + 3y –5 = 0, (iii) y = 0
Solution:
(i) We have given an equation x + 7y = 0, which can be written in the form ⇒ 7y = - x ⇒ y = x + 0 ... (1) Also, the slope intercept form is y = mx + c ... (2) On comparing (1) and (2), we get m = , c = 0 Hence the slope is and the y-intercept = 0. (ii) We have given an equation 6x + 3y – 5 = 0, which can be written in the form 3y = – 6x + 5 ⇒ y = − 2x + ... (1) Also, the slope intercept form is y = mx + c ... (2) On comparing (1) and (2), we get m = − 2 and c = i.e. slope = – 2 and the y-intercept = (iii) We have given an equation y = 0 ⇒ y = 0.x + 0 ... (1) Also, the slope intercept form is y = mx + c ... (2) On comparing (1) and (2), we get m = 0, c = 0. Hence, slope is 0 and the y-intercept is 0.
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