Question

Find the slope-intercept form of the equation 3x + 7y = 14.

A. 7y = 3x + 14

B. 7y = -3x + 14

C. y= (-3)/7 x+2

D. y= 3/7 x+2

Answer 1

The slope-intercept form:

$y=mx+b$

We have:

$3x+7y=14$              subtract 3x from both sides

$7y=-3x+14$             divide both sides by 7

$\boxed{y=-\dfrac{3}{7}x+2\to\boxed{C.}}$