Question

Given below is a graph showing the relation between the number of games won $\left(y\right)$ corresponding to player’s jersey number $\left(x\right).$



Equation of the line: $y=mx+b$
Find the value of $m$ and $b.$

• A. $m=4,b=1$
• B. $m=4,b=-0.5$
  
• C. $m=1,b=4$
• D. $m=-0.5,b=4$
  

Answer 1

The correct option is D $m=-0.5,b=4$


$\text{Slope of the line (m)}=\frac{\text{change in y-coordinate}}{\text{change in x-coordinate}}$
$=\frac{0-4}{8-0}\text{(Taking the points (0, 4) and (8, 0))}$
$=\frac{-4}{8}$
$=-\frac{1}{2}$
$=-0.5$
$y-$ intercept $\left(b\right)=4$

The equation of the line will be $y=-0.5x+4.$
Comparing the equation with $y=mx+b,$ we get
$m=-0.5,b=4$