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) The given equation is x + 7y = 0

It can be written as

y = - 1/7 x + 0

This equation is of the form y = mx + c , where m = - 1/7 and c = 0

Therefore, equation x + 7 y = 0 is the slope-intercept form, where the slope and the y-intercept are - 1/7 and 0 respectively.

(ii) The given equation is 6x + 3y - 5 = 0

It can be written as

3y = -6x + 5

y = 1/3 (- 6x + 5)

y = - 2x + 5/3

This equation is of the form y = mx + c, where m = - 2 and c = 5/3

Therefore, equation 6x + 3y - 5 = 0 is the slope-intercept form, where the slope and the y-intercept are - 2 and 5/3 respectively

(iii) The given equation is y = 0 .

It can be written as y = 0.x + 0

This equation is of the form y = mx + c , where m = 0 and c = 0 .

Therefore, equation y = 0 is in the slope-intercept form, where the slope and the y-intercept are 0 and 0 respectively

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NCERT Solutions Class 11 Maths Chapter 10 Exercise 10.3 Question 1

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

Summary:

i) Equation x + 7 y = 0 is the slope-intercept form, where the slope and the y-intercept are - 1/7 and 0 respectively
ii) Equation 6x + 3y - 5 = 0 is the slope-intercept form, where the slope and the y-intercept are - 2 and 5/3 respectively
iii) Equation y = 0 is in the slope-intercept form, where the slope and the y-intercept are 0 and 0 respectively.