# How do you find the slope and intercept for 8x-2y=14?

Nov 7, 2016

Slope $m = 4$
y-intercept $- 7$
x-intercept $\frac{7}{4}$

#### Explanation:

Given -

$8 x - 2 y = 14$

It is in the form

$a x + b y = c$

If a linear equation is in this form, then -

It slope is $\frac{- a}{b}$

In our case, we shall use this formula

$m = \frac{- 8}{- 2} = 4$

To find the y-intercept put $x = 0$

$8 \left(0\right) - 2 y = 14$
$- 2 y = 14$
$y = \frac{14}{- 2} = - 7$

To find the x-intercept put $y = 0$

$8 x - 2 \left(0\right) = 14$
$8 x = 14$
$x = \frac{14}{8} = \frac{7}{4}$