Question

What is the equation of the line that passes through the point (5, 3)and has a slope of -4/5

Answer 1

Given:

The slope of the line

$m=-\frac{4}{5}$

The line passes through from the point (5,3).

Required:

Find the equation of the line.

Explanation:

The equation of the line that passes through from the point and has slope m is given by the formula as:

$y-y_1=m(x-x_1)$

Consider

$(x_1,y_1)=(5,3)$

Now the equation of the line:

$\begin{gathered} y-3=\frac{-4}{5}(x-5) \\ 5(y-3)=-4(x-5) \\ 5y-15=-4x+20 \\ 4x+5y=35 \end{gathered}$

Final Answer:

The equation of the line passes through from point (5,3) and has a slope -4/5 is 4x + 5y = 35