Function A and Function B are linear functions. Compare the two functions and choose all that are correct.
2 answers:
Answer:
2 .The slope of Function A is less than the slope of Function B
Step-by-step explanation:
A graph of Function A shows it has a y-intercept of 4, the same as that of Function B. (Statements 3 and 4 are not correct.)
The slope of Function A is 2, which is less than the slope of 3 that Function B has. (Statement 2 is correct; statement 1 is not.)
_____
<em>More detailed working</em>
The slope of Function A can be figured easily between the points with x-values that differ by 1:
m = (y3 -y2)/(x3 -x2) = (24-22)/(10-9) = 2/1 = 2 . . . . . Fun A has slope of 2.
The slope of Function B is the coefficient of x in the equation: 3.
__
The y-intercept of Function A can be found starting with point-slope form:
y -22 = 2(x -9)
y = 2x -18 +22
y = 2x +4 . . . . . . . slope-intercept form
The intercept of +4 is the same as that of Function B.
You might be interested in
If you were to correctly simplify this equation, the answer would be a negative.
The answer is: n = -5
Here's how I got my answer:
Step 1: Add 3 to both sides. Which leaves us with
Step 2: Simplify to 45. Which leaves us with
Step 3: Divide both sides by -9. Which leaves us with
Step 4: Simplify , to get your answer, n = -5.