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