Which linear function is represented by the graph?

f(x) = –2x + 1
f(x) = 1/2–x + 1
f(x) = 1/2x + 1
f(x) = 2x + 1

Answer-

Linear function that is represented by the graph is

Solution-

From the graph,

y - intercept of the linear function is 1 and there are two points on the line (-4, 3), (4, -1)

We can get the equation of line by applying slope-intercept formula,

Slope of the line,

Now applying slope-intercept formula,

Putting the values,

Therefore, linear function that is represented by the graph is

option B is correct.

Step-by-step explanation:

Using Point slope form:

The equation of line is given by:

        .....[1]

where m is the slope of the line and is the point on the coordinate plane.

Consider any two points from the graph:

Let (0, 1) and (4, -1)

Calculate slope:

Slope is given by:

then substitute the given values we have;

Now, substitute the value of m and (0, 1) in [1]  then;

Simplify:

Add 1 to both sides we have;

Therefore, the linear function is represented by the graph is

17

step-by-step explanation:

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