Question

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the

correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag
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Indicate the equation of the line through (2, -4) and having slope of 3/5.

Answer 1

The equation of the line is
`y = (3)/(5)\cdot x -(26)/(5)`.

Explanation:

Given the values of the slope and a point of the line, we can derive the equation of the line by means of this formula:

`y-y_(1) = m\cdot (x-x_(1))` (1)

Where:

`x` - Independent variable.

`y` - Dependent variable.

`m` - Slope.

`(x_(1), y_(1))` - Coordinates of the given point.

If we know that
`m = (3)/(5)` and
`(x_(1),y_(1)) = (2, -4)`, then the equation of the line is:

`y+4 = (3)/(5)\cdot (x-2)`

`y + 4 = (3)/(5)\cdot x -(6)/(5)`

`y = (3)/(5)\cdot x -(26)/(5)`

The equation of the line is
`y = (3)/(5)\cdot x -(26)/(5)`.