# Y-intercept= 6 and the x-intercept=-1 what is the slope intercept form?

Jul 6, 2016

The slope-intercept equation is $y = 6 x + 6$

#### Explanation:

If the y-intercept $= 6$ the point is $\left(0 , 6\right)$
If the x-intercept $= - 1$ the point is #(-1,0)

The slope-intercept form of the equation of the line is $y = m x + b$
where $m =$ slope and $b =$ the y intercept

$m = \frac{{y}_{2} - {y}_{1}}{{x}_{2} - {x}_{1}}$

${x}_{1} = 0$
${y}_{1} = 6$
${x}_{2} = - 1$
${y}_{2} = 0$

$m = \frac{0 - 6}{- 1 - 0}$

$m = \frac{- 6}{- 1}$

$m = 6$
$b = 6$

$y = 6 x + 6$