Question

The equation of a line containing one leg of a right triangle is y=-4x. Write equations could represent the line contains the other leg??

Answer 1

Answer:

`y= (1)/(4) x`

Step-by-step explanation:
The general form of the equation of the linear line is:
y = mx + c
where:
m is the slope
c is the y-intercept

1- getting the slope:
We know that our line is perpendicular to the line y = -4x
This means that:
m₁ * m₂ = -1
m₁ * -4 = -1
m₁ = 1/4
The equation now becomes:
y = (1/4) x + c

2- getting the y-intercept:
Since we are not given any points that belong to the line or any conditions regarding the value of the c, therefore, we can simply assume that the y-intercept is zero

Based on the above, the equation of the line is:

`y= (1)/(4) x`

Hope this helps :)