Answer:
Option b is correct.
Linear function ;
y =2x
Step-by-step explanation:
The formula y=f(x)=mx +c ......[1] is said to be a linear function. That means the graph of this function will be a straight line on the (x, y) plane, where m represents slope and b is the y-intercepts.
Consider any points from the table;
(1, 2) and (2, 4)
substitute these point in [1] we get;
for (1, 2)
⇒x = 1 and f(x) = 2 we have
2 = m + c
or
c = 2- m ......[1]
for (2, 4) we have;
4 = 2m + c .....[2]
Now, substitute equation [1] into [2] we get;
4 = 2m + 2 -m
Combine like terms;
4 = m + 2
Subtract 2 from both sides we get;
4 -2 = m +2 -2
Simplify:
2 = m or
m = 2
Substitute the value of m = 2 in [1] to solve for c;
c = 2 -2 = 0
c =0
⇒ y = 2x +0
y = 2x
therefore, the data in the table represents the Linear function and a possible formula for the linear function is; y = 2x
Step-by-step explanation:
So if you are reflecting across the x-axis then the point after the reflection should be (x,-y). If you are reflecting across the y-axis the the point after the reflection should be (-x,y). If you are reflecting across the line y=x, then the point after the reflection should be (y,x) If you are reflecting across the line y=-x, then the point after the reflection should be (-y, -x). If you are reflecting across the origin, then the point after the reflection should be(-x,-y). Hope this helps.
Answer:
y=17/3x+2
Step-by-step explanation:
Get 2 points from the graph
(3;19) (-10;2)
Grad=change in y/change in x
=2-19/-10-3
=-17/-13
=17/3
y=mx+c
19=17/13(3)+c
19=17+c
19-17=c
2=c
y=17/13x+2.
Well I think you are supposed to find the equation of the line so I think that's it.
