What function equation is represented by the graph?

f(x)=2/3x+1
f(x)=3/2x+1
f(x)=2/3x−3/2
f(x)=−2/3x+1

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (3, 3) ← 2 points on the line

m = = =

Note the line crosses the y- axis at (0, 1) ⇒ c = 1

y = x + 1 or

f(x) = x + 1

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

make sure you have version 2.50

try looking in the very back of the book : )

step-by-step explanation:

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