Question

draw the graph of the equation X + 3 Y is equal to 15 find the coordinates of the point where the graph intersects the x-axis​

Answer 1

Answer:  The graph is attached below. The co-ordinates of the point where the graph intersects the X-axis are (15, 0).

Explanation:  We are given to draw the graph of the following linear equation.

$x+3y=15~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

Also, we are to find the co-ordinates of the point where the graph intersects the X-axis.

Since the given equation (i) is a linear equation in two variables, so the graph will be a straight line.

If x = 6, then from equation (i), we get

$6+3y=15\\\\\Rightarrow 3y=9\\\\\Rightarrow y=3.$

If x = 9, then from equation (i), we get

$9+3y=15\\\\\Rightarrow 3y=6\\\\\Rightarrow y=2.$

So, (6, 3) and (9, 2) are two points on the line graph of equation (i).

The graph is shown in the attached figure below.

Also, when the graph intersects X-axis, then y = 0.

So, from equation (i), we have

$x+3\times 0=15\\\\\Rightarrow x=15.$

Thus, the required co-ordinates of the point are (15, 0).​

Answer 2

Hope it helps uh.. ♥♥.....