How do you find the slope and y-intercept of 2y = 8x − 3?

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Answer 1 · 2017-02-11T03:01:55

See the 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.

We need to solve for $y$ to obtain the slope intercept form by dividing each side of the equation by $color(red)(2)$

$(2y)/color(red)(2) = (8x - 3)/color(red)(2)$

$(color(red)(cancel(color(black)(2)))y)/cancel(color(red)(2)) = (8x)/color(red)(2) - 3/color(red)(2)$

$y = color(red)(4)x - color(blue)(3/2)$

Therefore:

The slope is $color(red)(m = 4)$

The y-intercept is $color(blue)(b = -3/2)$ or (0, $color(blue)(-3/2)$ )