How do you write the slope-intercept form of the line with a slope of 1/3 and going through the points (3, 7) and (0, 6)?

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Answer 1 · 2017-01-18T20:40:29

$y = color(red)(1/3)x + color(blue)(6)$

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 this problem the slope is given as $color(red)(m = 1/3)$

Also, because the second point has the $x$ value of $0$ the y value is therefore the $y$ intercept or $color(blue)(b = 6)$

Substituting these into the formula gives:

$y = color(red)(1/3)x + color(blue)(6)$