What would the slope and point on a line be for the equation? Equation in details

Question

Equation:
y+2=-1/2(x-7)
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Answer 1 · 2018-04-05T00:23:00

$y + 2 = -1/2 (x-7)$

Let's get this into point-slope form, $y = mx + b$

$y + 2 = -1/2x + 7/2$

$y = -1/2x + 7/2 - 2$

$y = -1/2x + 7/2 + 4/2$

$y = color(red)(-1/2)x + color(green)(11/2)$

This tells us that the $color(red)(slope)$ is $color(red)(-1/2)$ and the $color(green)(y-i n tercept$ is $color(green)(11/2$ , meaning $(0, 11/2)$

We can check this using a graph

graph{y = -1/2x + 11/2}