Graphing Linear Equations Unit Test
12 of 1512 of 15 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 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.
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.
The correct response is:
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.
Write y−6x=5 in slope-intercept form(1 point)
y=
To write the equation y - 6x = 5 in slope-intercept form, we need to isolate y on one side of the equation.
First, we can add 6x to both sides of the equation:
y - 6x + 6x = 5 + 6x
This simplifies to:
y = 6x + 5
So, the equation y - 6x = 5 in slope-intercept form is y = 6x + 5.
Describe what makes a proportion. Give an example of a proportion.(2 points)
A proportion is a statement that shows the equality between two ratios. In a proportion, the ratios involved are equivalent to each other.
For example, let's consider the following statement:
"If 2 apples cost $3, then 5 apples will cost $7.50."
This statement forms a proportion:
2/3 = 5/7.50
Here, the ratio of the cost of 2 apples to the cost of 3 is equal to the ratio of the cost of 5 apples to the cost of 7.50. This shows the relationship and equality between the two ratios, making it a proportion.
The correct response is:
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 (0, 3) and (1, 5).
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 (0, 3) and (1, 5).
To graph the linear equation y = 2x - 3, you can follow these steps:
1. Draw a coordinate plane: Draw two perpendicular lines intersecting at their zero points to create the x-axis and y-axis.
2. Label the axes: On the x-axis, mark the numbers from -9 to 9 in increments of 1. On the y-axis, mark the numbers from -11 to 11 in increments of 1.
3. Plot the points: Plot the coordinates (1, -1) and (0, -3) on the coordinate plane. The first point has an x-coordinate of 1 and a y-coordinate of -1, while the second point has an x-coordinate of 0 and a y-coordinate of -3.
4. Draw a line: Connect the two plotted points with a straight line. The line should extend beyond the plotted points and have arrows at the ends.
5. Verify the answer: Check if the image provided matches the description. In this case, the correct response is the first option: "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."