# What is the slope and y-intercept of this line 14x + 7y = 9?

May 23, 2016

#### Answer:

So gradient (slope) $\to m = - 2$
${y}_{\text{intercept}} \to c = \frac{9}{7}$

#### Explanation:

Subtract $14 x$ from both sides

$7 y = 9 - 14 x$

Divide both sides by 7

$y = - \frac{14}{7} x + \frac{9}{7}$

$y = - 2 x + \frac{9}{7}$

Compare to $y = m x + c$ where m is the gradient and the y-intercept is c.

So gradient (slope) $\to m \to - 2$
${y}_{\text{intercept}} \to c = \frac{9}{7}$