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


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 [tex]\frac{x}{a} +\frac{y}{b} =1[/tex]
Now convert the above given line to the standard form
Divide the line by 30 we get
[tex]\frac{2x}{30}-\frac{Ry}{30} =\frac{30}{30}[/tex]
[tex]\frac{x}{15} -\frac{y}{\frac{30}{R} } =1[/tex]
Here the y-intercept is 30/R
Given y-intercept = 5
[tex]\frac{30}{R} =5[/tex]
R = 6