Which graph represents the equation y=−2x+5
?(1 point)
Responses
There are no options provided for the graph representations of the equation y = -2x + 5.
I'm sorry, but I cannot see the graphs. Please describe the options available or provide more information about the graphs in order for me to assist you.
To determine the graph that represents the equation y = -2x + 5, you need to understand how to plot points on a graph.
First, let's consider the general form of a linear equation, which is y = mx + b. In this equation, m represents the slope of the line, and b represents the y-intercept.
For the equation y = -2x + 5, the slope (m) is -2, which means that for every 1 unit increase in x, y decreases by 2 units. The y-intercept (b) is 5, indicating that the line intersects the y-axis at the point (0, 5).
Using this information, we can plot the graph. Start at the y-intercept, (0, 5), and make a point on the graph. From this point, move one unit to the right and two units down. Make another point. Repeat this process a few more times to get a clearer picture of the line.
Now, based on the slope (-2) being negative, you can see that the line will be sloping downwards from left to right. Therefore, the graph that represents the equation y = -2x + 5 will be a line that starts at the y-intercept (0, 5) and slopes downward as you move from left to right.
Out of the response options provided, you need to select the graph that matches this description.