How do you write the point slope form of an equation for a lint that passes through (-4,8) with m=7/2?

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Answer 1 · 2018-06-12T18:33:20

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 the values from the point and the slope from the problem gives:

$(y - color(blue)(8)) = color(red)(7/2)(x - color(blue)(-4))$

$(y - color(blue)(8)) = color(red)(7/2)(x + color(blue)(4))$