Question

How do you write an equation in point slope and slope intercept form given m=-7; (0, 2.4)?

Answer 1

See a solution process below

Explanation:

The point `(0, 2.4)` gives us the `y` intercept. 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.

Substituting the slope and y-intercept from the problem gives:

`y = color(red)(-7)x + color(blue)(2.4)`

The point-slope formula states: `(y - color(red)(y_1)) = color(blue)(m)(x - color(red)(x_1))`

Where `color(blue)(m)` is the slope and `color(red)(((x_1, y_1)))` is a point the line passes through.

We can also substitute directly giving:

`(y - color(red)(2.4)) = color(blue)(-7)(x - color(red)(0))`