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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
(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.
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