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

Answer 1

Answer:

The equation of the line is $y = \frac{3}{5}\cdot x -\frac{26}{5}$.

Step-by-step 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 $m = \frac{3}{5}$ and $(x_{1},y_{1}) = (2, -4)$, then the equation of the line is:

$y+4 = \frac{3}{5}\cdot (x-2)$

$y + 4 = \frac{3}{5}\cdot x -\frac{6}{5}$

$y = \frac{3}{5}\cdot x -\frac{26}{5}$

The equation of the line is $y = \frac{3}{5}\cdot x -\frac{26}{5}$.