The line represented by the equation 3.4 y=0 is graphed in the xy-plane. Which of the following statements correctly describes the graph of the line? Choose 1 answer: (A) The line has a negative y intercept. B The line goes through the point (0,3.4). (C) The line has a positive slope. (D) The line is perpendicular to the y-axis.

Isolate y: The equation given is 3.4y = 0. To understand the graph of this line, we need to isolate y. 3.4y = 0 Divide both sides by 3.4 to solve for y: y = 0 / 3.4 y = 0Horizontal Line: The equation y = 0 represents a horizontal line in the xy-plane. This line crosses the y-axis at the point (0,0).Zero Slope: Since the line is horizontal, it does not have a positive or negative slope. The slope of a horizontal line is 0.Origin at (0,0): The line y = 0 does not have a y-intercept that is positive or negative; it is exactly at the origin, which is (0,0).Perpendicular to y-axis: The line y = 0 is perpendicular to the y-axis because it is a horizontal line that runs parallel to the x-axis.

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The line represented by the equation $3.4 y = 0$ is graphed in the $xy$ -plane. Which of the following statements correctly describes the graph of the line? $\newline$ Choose $1$ answer: $\newline$ (A) The line has a negative $y$ intercept. $\newline$ (B) The line goes through the point $(0,3.4)$ . $\newline$ (C) The line has a positive slope. $\newline$ (D) The line is perpendicular to the $y$ -axis.

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Algebra 2

Simplify radical expressions with variables I

Full solution

Q. The line represented by the equation

3.4 y = 0

is graphed in the

xy

-plane. Which of the following statements correctly describes the graph of the line?

\newline

Choose

1

answer:

\newline

(A) The line has a negative

y

intercept.

\newline

(B) The line goes through the point

(0,3.4)

\newline

\newline

(D) The line is perpendicular to the

y

-axis.

Isolate y: The equation given is $3.4y = 0$ . To understand the graph of this line, we need to isolate $y$ . $\newline$ $3.4y = 0$ $\newline$ Divide both sides by $3.4$ to solve for $y$ : $\newline$ $y = \frac{0}{3.4}$ $\newline$ $y = 0$
Horizontal Line: The equation $y = 0$ represents a horizontal line in the $xy$ -plane. This line crosses the $y$ -axis at the point $(0,0)$ .
Zero Slope: Since the line is horizontal, it does not have a positive or negative slope. The slope of a horizontal line is $0$ .
Origin at $(0,0)$ : The line $y = 0$ does not have a $y$ -intercept that is positive or negative; it is exactly at the origin, which is $(0,0)$ .
Perpendicular to y-axis: The line $y = 0$ is perpendicular to the y-axis because it is a horizontal line that runs parallel to the x-axis.