How do you write the equation of a line with slope -1.5 and y-intercept -.25?

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Answer 1 · 2017-10-18T00:30:25

See a solution process below:

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

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

Therefore, we can substitute:

$- 1.5$ $color(red)(-1.5)$ for $m$ $color(red)(m)$

$- 0.25$ $color(blue)(-0.25)$ for $b$ $color(blue)(b)$

Giving:

$y = - 1.5 x + (- 0.25)$ $y = color(red)(-1.5)x + color(blue)((-0.25))$

Or

$y = - 1.5 x - 0.25$ $y = color(red)(-1.5)x - color(blue)(0.25)$

Or

$y = - \frac{3}{2} x - \frac{1}{4}$ $y = color(red)(-3/2)x - color(blue)(1/4)$