Example Question - straight line graph
Here are examples of questions we've helped users solve.
Graph Analysis Requested
The image you've provided shows a graph with a straight line on it and a red point marked on the line. Unfortunately, you did not mention what the specific question is regarding this graph. The line appears to be positively sloped, extending into the first and third quadrants of the Cartesian coordinate plane, and the coordinates are clearly marked along the X (horizontal) and Y (vertical) axes in increments of 200, ranging from -1,000 to 1,000 on both axes. If your question pertains to finding the equation of the line, determining the coordinates of the red point, or any other detail, please provide that specific question so I can assist you accordingly.
Graphing a Linear Equation
To solve the equation and complete the ordered pairs, you need to plug the x-values from each ordered pair into the equation y = -x/5 + 2 and solve for y. The equation is linear, which means you will be graphing a straight line. You only need two points to define a straight line, but let's find the y-values for all the given x-values: 1. For the ordered pair (-5, _), plug in x = -5: y = -(-5)/5 + 2 y = 5/5 + 2 y = 1 + 2 y = 3 So, the complete ordered pair is (-5, 3). 2. For the ordered pair (0, _), plug in x = 0: y = -(0)/5 + 2 y = 0 + 2 y = 2 So, the complete ordered pair is (0, 2). 3. For the ordered pair (5, _), plug in x = 5: y = -(5)/5 + 2 y = -1 + 2 y = 1 So, the complete ordered pair is (5, 1). To graph these points, you just need to put these coordinates on a graph and draw a straight line through them. Using (-5, 3) and (5, 1), you can draw the graph as follows: - Plot the point (-5, 3) on the graph. - Plot the point (5, 1) on the graph. - Draw a straight line that passes through both points, extending it on both ends. This line is the graphical representation of the solution set for the equation y = -x/5 + 2.
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