Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. $\begin{array} { c }
3 x + 2 y = 38 \
x = 8
\end{array}$

Question

Draw the graphs of the pair of linear equations. Find the point of intersection. If the lines do not intersect, tell whether the lines are parallel or coincide. $\begin{array} { c } 
3 x + 2 y = 38 \
x = 8
\end{array}$

Quizplus · Accepted Answer

To graph 3x+2y=38, we can use the intercept method:
- Set x=0, then 2y=38, so y=19; plot the point (0,19).
- Set y=0, then 3x=38, so x=38/3; plot the point (38/3,0).
- Connect the two points to graph the line.

To graph x=8, we can plot a vertical line passing through (8,0).

The point of intersection is (8,11).

The lines intersect at this point, so they are not parallel or coincident.

Draw the Graphs of the Pair of Linear Equations 3x+2y=38x=8\begin{array} { c } 3 x + 2 y = 38 \\x = 8\end{array}3x+2y=38x=8​

Draw the Graphs of the Pair of Linear Equations $\begin{array} { c } 3 x + 2 y = 38 \\x = 8\end{array}$