Question

4

Select the correct answer.
Identify the system of linear equations from the tables of values given below.
х
у
х
у
.
0
2
0
1
-4
0
-2
0
6
5
-4
-1
-6
-1
2.
2.

Answer 1

x 3:7 y 5:9 :)

Explanation:

Answer 2

The system of linear equations from the tables of values given above are;

y = 1/2(x) + 2

y = 1/2(x) + 1

In Mathematics and Euclidean Geometry, the intercept form of the equation of a standard line can be modeled by the following formula;

x/a + y/b = 1

Where:

a and b are x-intercept and y-intercept respectively.

Part 1

Since the graph of the straight line function has an x-intercept at (-4, 0) and a y-intercept at (0, 2), an equation that represents the line can be written as follows;

-x/4 + y/2 = 1

(-x + 2y)/4 = 1

-x + 2y = 4

y = x/2 + 4/2

y = 1/2(x) + 2

Part 2.

Since the graph of the straight line function has an x-intercept at (-2, 0) and a y-intercept at (0, 1), an equation that represents the line can be written as follows;

-x/2 + y/1 = 1

(-x + 2y)/2 = 1

-x + 2y = 2

y = x/2 + 2/2

y = 1/2(x) + 1