What is the slope intercept form of the line with a slope of $-1$ that passes through $(-5,7)$ ?

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Answer 1 · 2017-10-02T01:22:28

See a solution process below:

The slope-intercept form of a linear equation is: $y = color(red)(m)x + color(blue)(b)$

Where $color(red)(m)$ is the slope and $color(blue)(b)$ is the y-intercept value.

In the problem we are given: $color(red)(m = -1)$

Substituting this into the formula gives:

$y = color(red)(-1)x + color(blue)(b)$

Next, we can substitute the values from the point in the problem for $x$ and $y$ and solve for $color(blue)(b)$ :

$y = color(red)(-1)x + color(blue)(b)$ becomes:

$7 = (color(red)(-1) xx -5) + color(blue)(b)$

$-color(red)(5) + 7 = -color(red)(5) + 5 + color(blue)(b)$

$2 = 0 + color(blue)(b)$

$2 = color(blue)(b)$

Substituting this result into the formula gives:

$y = color(red)(-1)x + color(blue)(2)$

What is the slope intercept form of the line with a slope of -1 -1 that passes through (-5,7) (-5,7) ?