Given:
f(1) = 1 and f(-3) = 17
To find:
The lines function f.
Solution:
If f(a) = b, it means the function f passes through (a,b).
Here, f(1) = 1, it means the function f passes through (1,1).
f(-3) = 17, it means the function f passes through (-3,17).
If a linear function passes through two point
, then the equation of line is

The linear function f passes through (1,1) amd (-3,17). So, the equation of linear function is




Add 1 on both sides.


Put y=f(x), to write in function notation.

Therefore, required lines function is
.
Answer:
x--5-4-3-2-1
Step-by-step explanation:
because it is x axis not y axis
Answer:

Step-by-step explanation:
Equation of a line is given as 
Where,
m = slope of the line = 
b = y-intercept, which is the value at the point where the line intercepts the y-axis. At this point, x = 0.
Let's find m and b to derive the equation for the line.

Use the coordinate pair of any two points on the line. Let's use the following,
=> on the line, when x = 0, y = -2
=> on the line, when x = 4, y = 1
Plug in the values and solve for m



b = -2 (the line intercepts the y-axis at this point)
Our equation would be =>


