Question

Given that the line is x/3 + y/2 =1 i ) make y the subject ii ) gradient of line

Answer 1

Answer:

see explanation

Step-by-step explanation:

(i)

$\frac{x}{3}$ + $\frac{y}{2}$ = 1 ( multiply through by 6 to clear the fractions )

2x + 3y = 6 ( subtract 2x from both sides )

3y = - 2x + 6 ( divide through by 3 )

y = - $\frac{2}{3}$ x + 2

(ii)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope ( gradient ) and c the y- intercept )

y = - $\frac{2}{3}$ x + 2 ← is in slope- intercept form ( that is part (i)

with gradient m = - $\frac{2}{3}$