Question

Someone can give me the answer please ?Question : “determine the equation of the line that represents moonbeam drive . Write the equation in slope intercept form”

Answer 1

Let:

$\begin{gathered} (x1,y1)=(0,16) \\ (x2,y2)=(20,0) \end{gathered}$

The slope m of the line is given by:

$m=\frac{y2-y1}{x2-x1}=\frac{0-16}{20-0}=-\frac{4}{5}$

Using the point-slope equation:

$\begin{gathered} y-y1=m(x-x1) \\ y-16=-\frac{4}{5}(x-0) \end{gathered}$

Since we need to write the equation in the slope-intercept form, let's solve for y:

$\begin{gathered} y-16=-\frac{4}{5}x \\ y=-\frac{4}{5}x+16 \end{gathered}$