Question

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

Answer 1

(i) The given equation is x + 7y = 0.

It can be written as

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

Therefore, equation (1) is in the slope-intercept form, where the slope and the y-intercept are and 0 respectively.

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

It can be written as

Therefore, equation (2) is in the slope-intercept form, where the slope and the y-intercept are–2 and respectively.

(iii) The given equation is y = 0.

It can be written as

y = 0.x + 0 … (3)

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

Therefore, equation (3) is in the slope-intercept form, where the slope and the y-intercept are 0 and 0 respectively.