What is the equation in point-slope form and slope intercept form for the line given slope= -1/2, (0,3)?

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Answer 1 · 2018-03-05T00:00:51

See a solution process below:

The point-slope form of a linear equation is: $(y - color(blue)(y_1)) = color(red)(m)(x - color(blue)(x_1))$

Where $(color(blue)(x_1), color(blue)(y_1))$ is a point on the line and $color(red)(m)$ is the slope.

Substituting gives:

$(y - color(blue)(3)) = color(red)(-1/2)(x - color(blue)(0))$

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.

$(0, 3)$ is the same as having a $y$ -intercept of $3$

Substituting gives:

$y = color(red)(-1/2)x + color(blue)(3)$