Write the equation in slipe intercept form

3x+7y=14

To write the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, we need to isolate y on one side of the equation.

3x + 7y = 14

Let's subtract 3x from both sides:

7y = -3x + 14

Now, we need to isolate y. Divide both sides by 7:

y = (-3/7)x + 14/7

Simplifying,

y = (-3/7)x + 2

Therefore, the equation in slope-intercept form is y = (-3/7)x + 2.