Draw the graph of the equation x − y = 4 Answer the following using graph paper:
(i) Find the value of y, if x = 7 from the graph.
(ii) Write the coordinate of the point where the graph intersect on x − axis.

We have the equation:

x - y = 4

We can write this as a linear equation in the slope-intercept form if we isolate the variable y.

We get:

y = x - 4

Now to graph this function, we need to evaluate x in two different points and get two points (x, y) of the line.

If we use x = 1 and x = 2, then we get:

y(1) = 1 - 4 = - 3

Then we have the point (1, -3)

and:

y(2) = 2 - 4 = - 2

Then we have the point (2, - 4)

Now we need to draw these two points in the coordinate axis, and draw a line that connects the points, the example can be seen in the image below.

a) To use the graph, we need to locate the value x= 7 in the x-axis.

Then draw a vertical line

In the point where the vertical line intersects the graph, we draw an horizontal line.

The y-value will be the value at which this horizontal line intersects the y-axis

In this case, is at  y = 3.

Then when x = 7, y = 3.

(you can see it in the graph)

ii) The coordinate at which the graph intersects the x-axis can be seen in the graph, it is the point (0, 4)

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1

-2x-4

step-by-step explanation: