Match each equation to the correct graph.(4 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=−1/2 x + 1
y=1/2 x + 1
y=2x + 1
y=1/2 x − 1

Answer 1

To match each equation to its corresponding graph, we can analyze the properties of each linear equation:

1. y = -1/2 x + 1: This line has a negative slope (-1/2) and a y-intercept of (0, 1). It will slope downward from left to right.

2. y = 1/2 x + 1: This line has a positive slope (1/2) and a y-intercept of (0, 1). It will slope upward from left to right.

3. y = 2x + 1: This line has a steep positive slope (2) and a y-intercept of (0, 1). It will rise sharply as x increases.

4. y = 1/2 x - 1: This line has a positive slope (1/2) and a y-intercept of (0, -1). It will slope upward from left to right but starts below the x-axis.

You can match these descriptions to the graphs based on the slopes and the y-intercepts indicated. Once the graphs are observed, assign the equations to the corresponding graph based on the slope and intercept criteria.