Q 2. - Precalculus Enhanced with Graphing Utilities

Question

Graph the  equation by hand by plotting

points. Use a graphing utility to approximate the intercepts and label them on graph.

$2x-7y=21$

Step-by-Step Solution

Answer

Intercepts of the equation are.

x	y	( x, y )
0	-3	( 0 ,-3 )
7	-1	( 7 ,-1 )
-7	-5	( -7 ,-5 )
14	1	( 14 ,1 )

Graph of the equation is.

Step 1. Given information.

Consider the given equation $2x-7y=21$.

Step 2. Find the intercept .

To find the intercept put  the values in the given equation $2x-7y=21$.

If $x=0$ then  $y=-3$.

$x=7$ then $y=-1$

$x=-7$ then $y=-5$

$x=14$then $y=1$

Step 3. Plot the graph.

The graph for the given equation is shown below.