Question

write an equation equation of the line in slope intercept form that passes through the following points (4,0) (0,4)

Answer 1

Given the points : ( 4 , 0 ) and ( 0 , 4 )

The general slope - intercept form is :

$y=m\cdot x+b$

Where m is the slope and b is y- intercept

The slope is :

$slope=m=\frac{rise}{run}=\frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-4}=\frac{4}{-4}=-1$

Y- intercept is the value of y when x = 0 , which is the given point ( 0 , 4 )

So,

$b=4$

Substitute with m and b

so, the equation of the line is :

$\begin{gathered} y=-1\cdot x+4 \\ \\ y=-x+4 \end{gathered}$