# What is the slope and intercept of 2x+4y = 14?

Dec 18, 2016

slope = - 1/2 and y-intercept = 7/2

#### Explanation:

We know the slope-intercept form of an equation of a line

is y = mx + c where slope is m and y-intercept is c.

Here, we have to form 2x + 4y = 14 as per y = mx + c.

So, 4y = +(-2)x + 14 [divide both sides by 4]

or, $\frac{4}{4} \cdot y = - \frac{2}{4} \cdot x + \frac{14}{4}$

or, $y = - \frac{1}{2} \cdot x + \frac{7}{2}$

Hence the slope = - 1/2 and y-intercept = 7/2.