# What is the slope intercept form of the line passing through (-3,-17)  with a slope of  4?

$y = 4 x - 5$

#### Explanation:

The formula for finding the equation of the line when a point and a slope is given is called the Point-Slope Form

$y - {y}_{1} = m \left(x - {x}_{1}\right)$

$y - - 17 = 4 \left(x - - 3\right)$

$y + 17 = 4 \left(x + 3\right)$

$y = 4 x + 12 - 17$

$y = 4 x - 5$

This is the Slope-intercept Form

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