1.
Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x +5
Correct Answer
D.
Explanation
The correct answer is graph C. The y-intercept of an equation represents the point where the line intersects the y-axis. In the equation y = 2x + 5, the y-intercept is the constant term, which is 5. Graph C shows a line that passes through the point (0, 5), indicating the correct y-intercept. The other graphs do not pass through the point (0, 5), so they do not represent the correct y-intercept for the equation.
2.
Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x -2
Correct Answer
B. Option 2
Explanation
Option 2 shows the correctly plotted y-intercept for the equation y = 2x - 2. The y-intercept is the point where the graph intersects the y-axis, and it represents the value of y when x is 0. In Option 2, the graph intersects the y-axis at -2, which is the correct y-intercept for the given equation.
3.
Which of the following graphs shows the correctly plotted y-intercept for this equation:y =1/2x +3
Correct Answer
A. Option 3
Explanation
The y-intercept of an equation represents the point where the line intersects the y-axis. In the given equation y = 1/2x + 3, the y-intercept is 3. Option 3 shows the correct y-intercept as the line intersects the y-axis at the point (0,3).
4.
Which of the following graphs shows the correctly plotted y-intercept for this equation:y =3x -4
Correct Answer
C. Option 3
Explanation
Option 3 shows the correctly plotted y-intercept for the equation y = 3x - 4. The y-intercept is the point where the graph intersects the y-axis, and it represents the value of y when x is equal to 0. In this equation, when x is 0, y is -4. Option 3 correctly shows this point at the coordinates (0, -4) on the graph.
5.
Which of the following graphs shows the correctly plotted y-intercept for this equation:y =2x
Correct Answer
B. Option 2
Explanation
Option 2 shows the correctly plotted y-intercept for the equation y = 2x. The y-intercept is the point where the graph intersects the y-axis, and in this equation, the y-intercept is 0. Since option 2 has the graph passing through the point (0,0), it correctly represents the y-intercept for the equation.