Question #f5184

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Question #f5184

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Answer 1 · 2017-11-20T15:28:59

$y = 4 x - 25$ $y = 4x - 25$

Explanation:

The slope-intercept form follows this general format:
$y = m x + b$ $y = mx + b$
such that,
$m = slope$ $m = "slope"$
$b = y-intercept$ $b = "y-intercept"$

In this case, since we know that the slope is $m = 4$ $m = 4$ we can use it in the general format.
$y = 4 x + b$ $y = 4x + b$

In order to determine $b$ $b$ or the y-intercept, we can substitute the coordinates given above, where the line passes through.

$(6, - 1)$ $(6, -1)$
$y = 4 x + b$ $y = 4x + b$
$- 1 = 4 (6) + b$ $-1 = 4 (6) + b$
$- 1 = 24 + b$ $-1 = 24 + b$
$b = - 25$ $b = -25$

So we know that the equation of the line is $y = 4 x - 25$ $y = 4x - 25$

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Question #f5184

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