Ask a New Question
Menu

Graphing Linear Equations Unit Test

12 of 1812 of 18 Items

Question
Graph the linear equation y=2x−3
.(1 point)
Responses

A coordinate plane shows the x-axis ranging from negative 9 to 9 in increments of 1 and the y-axis ranging from 11 to negative 11 in increments of 1. A line with arrows at both ends joins two plotted points.
The coordinates of the plotted points are as follows: left parenthesis 1 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 3 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis ranging from negative 9 to 9 in increments of 1 and the y-axis ranging from 11 to negative 11 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 1 comma negative 1 right parenthesis, and left parenthesis 0 comma negative 3 right parenthesis.

An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 1 right parenthesis and left parenthesis 1 comma negative 3 right parenthesis.
Image with alt text: An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid downward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma negative 1 right parenthesis and left parenthesis 1 comma negative 3 right parenthesis.

An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 3 right parenthesis and left parenthesis 1 comma 5 right parenthesis.
Image with alt text: An illustration of a coordinate plane with four quadrants shows the x-axis ranging from negative 9 to 9 and the y-axis ranging from negative 11 to 11 in increments of 1. A solid upward line with arrows at both ends is plotted on the graph. The line passes through the plotted points left parenthesis 0 comma 3 right parenthesis and left parenthesis 1 comma 5 right parenthesis.

A coordinate plane shows the x-axis ranging from negative 9 to 9 in increments of 1 and the y-axis ranging from 11 to negative 11 in increments of 1. A line with arrows at both ends joins two plotted points.
The coordinates of the plotted points are as follows: left parenthesis 0 comma 1 right parenthesis, and left parenthesis 1 comma 4 right parenthesis.
Image with alt text: A coordinate plane shows the x-axis ranging from negative 9 to 9 in increments of 1 and the y-axis ranging from 11 to negative 11 in increments of 1. A line with arrows at both ends joins two plotted points. The coordinates of the plotted points are as follows: left parenthesis 0 comma 1 right parenthesis, and left parenthesis 1 comma 4 right parenthesis.
Skip to navigation

1 answer

To determine the correct graph for the linear equation \( y = 2x - 3 \), we can analyze the equation and calculate specific points to plot.

  1. Find the y-intercept:

    • Set \( x = 0 \): \[ y = 2(0) - 3 = -3 \]
    • This gives us the point \( (0, -3) \).

  2. Find another point:

    • Set \( x = 1 \): \[ y = 2(1) - 3 = 2 - 3 = -1 \]
    • This gives us the point \( (1, -1) \).

Based on our calculations, we have two points to plot:

  • \( (0, -3) \)
  • \( (1, -1) \)

Now, let's compare these points with the provided graph options:

  • The first option shows the points \( (1, -1) \) and \( (0, -3) \) correctly.
  • The second option shows a line going through \( (0, -1) \) and \( (1, -3) \), which is incorrect.
  • The third option shows a line passing through \( (0, 3) \) and \( (1, 5) \), which is not relevant to our equation.
  • The fourth option shows a line passing through \( (0, 1) \) and \( (1, 4) \), which does not match either.

Thus, the correct graph for the equation \( y = 2x - 3 \) is the one that features the points \( (0, -3) \) and \( (1, -1) \).