Reduce the following equations into slope – intercept form and find their slopes and the y – intercepts.

(i) x + 7y = 0

Given:

The equation is x + 7y = 0

Slope – intercept form is represented in the form ‘y = mx + c’, where m is the slope and c is the y intercept

So, the above equation can be expressed as

y = \(- \dfrac{1}{7}x\) + 0

The above equation is of the form y = mx + c, where m = \( \dfrac{1}{7}\) and c = 0.

(ii) 6x + 3y – 5 = 0

Given:

The equation is 6x + 3y – 5 = 0

Slope – intercept form is represented in the form ‘y = mx + c’, where m is the slope and c is the y intercept

So, the above equation can be expressed as

3y = -6x + 5

y = \(- \dfrac{6}{3}x\) + \( \dfrac{5}{3}\)

= -2x +\( \dfrac{5}{3}\)

The above equation is of the form y = mx + c, where m = -2 and c = \( \dfrac{5}{3}\).

(iii) y = 0

Given:

The equation is y = 0

Slope – intercept form is given by ‘y = mx + c’, where m is the slope and c is the y intercept

y = 0 × x + 0

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