Question

Consider the standard form equation 2x-Ry=30. What value of R causes the graph to have a y-intercept of 5?

Answer 1

R = 6

Explanation:

Given the equation of the line is 2x - Ry = 30

We know that the equation of a line with a as x-intercept and b as y-intercept is
`(x)/(a) +(y)/(b) =1`

Now convert the above given line to the standard form

Divide the line by 30 we get

`(2x)/(30)-(Ry)/(30) =(30)/(30)`

`(x)/(15) -(y)/((30)/(R) ) =1`

Here the y-intercept is 30/R

Given y-intercept = 5

`(30)/(R) =5`

R = 6