Chapter 2: Q63. (page 67)

What is the y-intercept of the graph of $10 - x = 2 y ?$
$(A) 2$ localid="1646207527357" $(B) 5$ localid="1646207506550" $(C) 6$ $(D) 10$

Short Answer

Expert verified

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

Step by step solution

Step 1- Given information

A linear equation $10 - x = 2 y$ .

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,

$10 - x = 2 y$

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

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

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

Hence, the correct option is (B).

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What is the y-intercept of the graph of $10 - x = 2 y ?$
$(A) 2$ localid="1646207527357" $(B) 5$ localid="1646207506550" $(C) 6$ $(D) 10$

Short Answer

Step by step solution

Step 1- Given information

Step 2- concept used

Step 3- To find the y-intercept

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What is the y-intercept of the graph of 10-x=2y?(A)2 localid="1646207527357" B5 localid="1646207506550" (C)6 (D)10

Short Answer

Step by step solution

Step 1- Given information

Step 2- concept used

Step 3- To find the y-intercept

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

Pure Maths

Calculus

Logic and Functions

Discrete Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

What is the y-intercept of the graph of $10 - x = 2 y ?$
$(A) 2$ localid="1646207527357" $(B) 5$ localid="1646207506550" $(C) 6$ $(D) 10$