Question

What is the equation in standard form of the line that passes through the point (-3,

-2) and has a slope of 4?

Answer 1

`-3x+y=10`

Explanation:

To write this equation we first need to know what the standard form is. Standard form of a line is written as
`Ax + By = C`. To get this, we first need to put the equation into point slope form or
`y-y1 = m(x-x1)` where
`m` is slope and
`(x1,y1)` is a point on the graph. Using the information we know we can make the equation
`y+2=4(x+3)`.

Now that we have point slope form we need to convert it. To do this we need to first get rid of the parenthesis by distribution. This will give us
`y+2=3x+12`

Next, we know we need to get
`x` and
`y` on the same side of the equal sign. We do this by subtracting 3x on both sides to get
`-3x+y+2=12`

Finally, we can subtract 2 on both sides to put the equation into standard form. This will give us
`-3x+y=10`