Let me help you to understand this problem. Linear functions are those whose graph is a straight line. The form of a linear function is given by the following form:
The y-intercept occurs when x = 0.
So, our problem is to find the constants in each case. Therefore:
FIRST. (19)
The slope of a line can be found as follows:
As the y-intercept occurs when x = 0, therefore:
Accordingly, the first linear function is:
SECOND. (20)
Applying the same reasoning as in the first exercise, the slope is:
And the y-intercept is:
Accordingly, the second linear function is:
THIRD. (21)
The slope is:
And the y-intercept is:
Accordingly, the third linear function is:
FOURTH. (22)
The slope is:
And the y-intercept is:
Accordingly, the fourth linear function is:
FIFTH. (23)
The slope is:
And the y-intercept is:
Accordingly, the fifth linear function is:
SIXTH. (24)
The slope is:
And the y-intercept is:
Accordingly, the sixth linear function is: