Answer:
The slope of the line representing the linear function f(x) is determined as
. The function f(x) is decreasing because the slope is less than zero, i.e., m<0.
Step-by-step explanation:
A linear function f(x) is given with two points, (2,3) and (0,4) lying on the line representing f(x).
It is asked to determine the slope of the line and state if the function is increasing or decreasing. of the value of the slope obtained.
Step 1 of 1
Determine the slope of the line.
The points as given in the question are (2,3) and (0,4). Now, the formula for the slope is given as
![$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%24)
So, substitute
for
and
respectively, and
for
and
respectively in the above formula. Then simplify to get the slope as follows,![$m=\frac{4-3}{0-2}$\\ $m=\frac{1}{-2}$\\ $m=-\frac{1}{2}$](https://tex.z-dn.net/?f=%24m%3D%5Cfrac%7B4-3%7D%7B0-2%7D%24%5C%5C%20%24m%3D%5Cfrac%7B1%7D%7B-2%7D%24%5C%5C%20%24m%3D-%5Cfrac%7B1%7D%7B2%7D%24)
The slope of the line is obtained as
. Now, as
, so the function f(x) is decreasing.
(x-5)(x-6)
I dunno, its my question, just answering it for fun
Answer:
y=2x−5 is a line
Step-by-step explanation:
Explanation: y=2x−3 is in slope intercept form for a linear equation, y=mx+b , where m is the slope and b is the y-intercept. The y-intercept is the point at which x=0 and y=−3 , which is point (0,−3) You can plot this point on your graph.
The correct answer is B) $3,250, because if you add up the numbers consecutively you get that.