The y-intercept of Function A is greater than the y-intercept of Function B.
How to calculate the equation of function B?
The equation describing function B is determined by applying the following formula as shown below.
The general equation of a line is:
y = mx + c
where;
- m is the slope of the line
- c is the y - intercept of the line
The slope of function B is calculated as follows;
m = Δ y / Δ x
m = (3 - (-9) ) / ( 6 - (-6) )
m = ( 12 ) / ( 12)
m = 1
The equation of the function becomes;
(y - y₁) / ( x - x₁) = m
(y - (-9) ) / ( x - (-6) ) = 1
(y + 9) / ( x + 6) = 1
y + 9 = x + 6
y = x - 3
Function A: y = 5x + 1
Function B: y = x - 3
Thus, the y-intercept of Function A is greater than the y-intercept of Function B.
The complete question is below:
Function A and Function B are linear functions.
Function A: y = 5x + 1
Function B:
x | y
-6 | -9
-3 | -6
6 | 3
Which statement is true?
The y-intercept of Function A is greater than the y-intercept of Function B.
The y-intercept of Function A is less than the y-intercept of Function B