Question

How do you write an equation of a line with Slope = –2, passing through (0, –3)?

Answer 1

See a solution process below:

Explanation:

The point `(0, -3)` is the same as the `y`-intercept of `-3`

Therefore, we can use the slope-intercept formula to write and equation for this line. 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 values from the problem gives:

`y = color(red)(-2)x + color(blue)(-3)`

`y = color(red)(-2)x - color(blue)(3)`