Question

Use the graphing device to graph the given family of lines in the same viewing rectangles. What do the lines have in common?

$y=-2x+b$for $b=0,\pm 1,\pm 3,\pm 6$

Short answer

The lines are parallel with the same slope.

Step-by-step solution

Step 1. Definition of the slope-intercept form.

Point-intercept is the equation of a straight line in the form$y=mx+b$, where m is the slope and b is y-intercept.

Step 2. Make the table with different value of b.

$y=-2x+b$

Plug the values of and make table:

Step 3. Draw the graph.

Use the value table to draw the graph:

The lines are parallel with the same slope.