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

Answer:

R = 6

Step-by-step 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 $\frac{x}{a} +\frac{y}{b} =1$

Now convert the above given line to the standard form

Divide the line by 30 we get

$\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}$

$\frac{x}{15} -\frac{y}{\frac{30}{R} } =1$

Here the y-intercept is 30/R

Given y-intercept = 5

$\frac{30}{R} =5$

R = 6