How to plot y=3-2x on a graph from X=-2 to 4 (Worth 4 marks)

Mathematics · College · Thu Feb 04 2021

Answered on

o plot the line y = 3 - 2x on a graph, follow these steps:

Step 1: Make a table of values for x and y. Choose values for x between -2 and 4 and calculate the corresponding y values using the equation y = 3 - 2x.

Here is an example table:

``` x | y ------- -2 | 7 (Because y = 3 - 2*(-2) = 3 + 4 = 7) -1 | 5 (Because y = 3 - 2*(-1) = 3 + 2 = 5) 0 | 3 (Because y = 3 - 2*0 = 3) 1 | 1 (Because y = 3 - 2*1 = 3 - 2 = 1) 2 | -1 (Because y = 3 - 2*2 = 3 - 4 = -1) 3 | -3 (Because y = 3 - 2*3 = 3 - 6 = -3) 4 | -5 (Because y = 3 - 2*4 = 3 - 8 = -5) ```

Step 2: Plot the points on the graph. Use graph paper or a digital graphing tool and put a dot for each pair of x and y values from your table.

Step 3: Draw a line through the points. Since y = 3 - 2x is a linear equation, the points will lie in a straight line.

Step 4: Label your axes and the line. Write 'x' next to the horizontal axis and 'y' next to the vertical axis. It's also good practice to write the equation of the line somewhere on the graph.

Ensure that your scale is consistent on both axes so that the graph accurately represents the line.