Question

What is the linear equation `10y=-6x-9` in standard form?

Answer 1

The equation for a line in standard form, or slope-intercept form, is `y = mx + b`, where `m` is the slope, and `b` is the y-intercept.

To convert the equation `10y = -6x - 9` to standard form, do the following:

1. Divide both sides of the equation by 10:

   `(10y)/10=-(6x)/10 - 9/10`
   `y=-(6x)/10 - 9/10`

2. Reduce `-(6x)/(10)` to `-(3x)/(5)`, and you will get the equation in standard form:

   `y = -3/5x - 9/10`.

The slope (`m`) is `-3/5`, and the y-intercept (`b`) is `-9/10`.

Graphically, this is what the function looks like:

Usually, if the question asks where does a line intersect the y-axis or the y-intercept, it is usually written in terms of a point on a graph where x = 0.
In this equation, the point is `(0,-9/10)`.