Q63. - Algebra 2

Question

What is the y-intercept of the graph of $10-x=2y?$

 $\left(A\right) 2$         $\left(B\right) 5$       $\left(C\right) 6$         $\left(D\right)10$

Step-by-Step Solution

Answer

The y-intercept of the given equation is $5$.

Step 1- Given information

A linear equation  $10-x=2y$.

Step 2- concept used

The y-coordinate of the point at which a graph crosses the y-axis is called the y-intercept.

So, the y-intercept is the value of $y$ when $x=0.$ 

Step 3- To find the y-intercept

From the given information,

$10-x=2y$

 Substitute the $x=0$in the given equation.

$\begin{array}{l}10-0=2y\\ \Rightarrow 2y=10\\ \Rightarrow y=5\end{array}$

Therefore, the y-intercept of the given equation is $5$.

Hence, the correct option is (B).