Question

Graph x=3 y=-2x+1 Use your mouse to hover over the point where the two lines intersect. What are the coordinates?

Answer 1

Given:

The given equations are:

$x=3$

$y=-2x+1$

To find:

The intersection point of given equations by using a graph.

Solution:

We know that $x=3$ is a vertical line that intersect the x-axis at $x=3$.

For $y=-2x+1$, the table of values is:

x     y

0     1

1      -1

Plot these two points on a coordinate plane and connect them by a straight line.

From the below graph it is clear that the given two lines intersect each other point (3,-5).

Therefore the required intersection point is $(x,y)=(3,-5)$.