Question

Plot theequation –x +3y = 15 on a graph sheet. Label the graph correctly and mark the coordinates of all plotted points.
FAST!!!!!!!!!!!!!!!!!!!!

Answer 1

Answer:

Hint: In this question, we will use the line equation to draw the graph. First, we will consider $x=0$, and find $y$ by substituting in the line equation. Next, we will substitute $y=0$, and find $x$ by substituting in the line equation. Plot the obtained points in the graph and draw the line equation. In the end, the intersection of the line equation on the $x$- axis will give the co-ordinates.

Step-by-step explanation:

Complete step-by-step answer:

Here, we have been given the equation x+3y=15 and we need to find the co-ordinates of the point where the line equation intersects the x- axis.

Let us first find the co-ordinates of the line equation x+3y=15.

For this, we need to consider x=0 and find the value of y, then consider y=0 and find the value of x. When you find the value of x, that is where the line equation drawn in the graph intersects the x- axis.

When, x=0,

Substitute x=0 in x+3y=15, we get

0+3y=15

Now, divide by 3 on both the sides of the equation, we get

3y

3

=

15

3

y=5

Therefore, let us say A (x,y) = A (0,5).

When, y=0,

Substitute y=0 in x+3y=15, we get

x+3(0)=15

x+0=15

x=15

Therefore, let us consider B (x,y) = B (15,0).

Now, we have two points A (0, 5) and B (15, 0), we will plot the points on the graph and create the line.

You can see from the graph, the line equation x+3y=15, intersects the

x

- axis at (15, 0).

Hence, the point where the line intersects the x- axis is (15, 0).

Note: Here, we also find the intersection point of the line equation and the x- axis by substituting y=0 in the line equation and we will get the co-ordinates of the intersection.