Question

The given graph shows the relation for the profit earned by some people.


From the graph, the relation between the y-intercept of the two lines is .

• A. B = 4$\times$R
• B. R = 4$\times$B
• C. B = 2$\times$R
• D. R = 2$\times$B

Answer 1

The correct option is A B = 4$\times$R


We know that equation of a line with value of y-intercept $b$ is $y=mx+b$.

From the graph, we can observe,

The equation of red line is given as: $y=3x+2$

Comparing this equation with the standard form, $y=mx+b$, we get the value of y-intercept as 2.

The equation of blue line is given as $y=-2x+8$.

Comparing this equation with the standard form $y=mx+b$, we get the value of y-intercept as 8.

So, comparing both the intercept values, we get:
Blue line intercept (B) is four times that of red line intercept (R).

$\therefore$ The relation between the
y-intercepts is $B=4\times R$.