Question

What is the slope-intercept equation for the line below?
y= (0,-4)
x= (4,1)

Answer 1

Given:

The line passing through the points ( 0 , -4) and ( 4,1 ) is shown.

We have to find the equation of this line.

The equation of line passing through two points (a,b) and (c,d) is given as:

`y-b=(d-b)/(c-a)(x-a)`

According to the question,

(a , b)= ( 0 , - 4)

(c , d )= ( 4 , 1)

Therefore, the equation of line is given as:

`\begin{gathered} y-(-4)=(1-(-4))/(4-0)(x-0) \\ y+4=(1+4)/(4)(x) \\ y+4=(5x)/(4) \\ y=(5x)/(4)-4 \end{gathered}`

Therefore, option (C) is correct.