How do you graph #y=-x-4# using a table?

Question

Eli Assouline · Accepted Answer

See the explanation.

#y=-x-4# is in the slope-intercept form for a linear equation, #y=mx+b#, where #m# is the slope and #b# is the y-intercept. In the given equation, #m=-1# and #b=-4#. To make a table to graph, give various values to #x# and solve for #y#. Ordered Pairs #xcolor(white)(........)y# #4color(white)(....)-8# #2color(white)(....)-6# #0color(white)(....)-4# #-2color(white)(.)-2# #-4color(white)(.....)0# Plot each ordered pair and draw a straight line through the points. graph{y=-x-4 [-14.24, 14.23, -7.12, 7.12]}

Julia Adams · Answer

undefined To graph the equation $ y = -x - 4 $ using a table:
1. Choose several values for $ x $.
2. Substitute each chosen $ x $ value into the equation to find the corresponding $ y $ value.
3. Create a table with two columns: one for $ x $ values and another for $ y $ values.
4. Plot the ordered pairs $ (x, y) $ on the coordinate plane.
5. Connect the points with a straight line.

| $ x $ | $ y = -x - 4 $ |
|--------|-----------------|
| 0      | -4              |
| 1      | -5              |
| 2      | -6              |
| -1     | -3              |
| -2     | -2              |

Then, plot the points (0, -4), (1, -5), (2, -6), (-1, -3), and (-2, -2) on the coordinate plane and connect them with a straight line.