Question

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

Answer 1

See a solution process below:

Explanation:

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))`