Which of the equations is graphed below?

A. y = 3x + 1
B. y = 3x – 1
C. y = 3x + 3
D. y = 3x – 3

Answer:

A. y = 3x + 1

Step-by-step explanation:

y intercept is 1

gradient is [tex]\frac{4-1}{1-0}[/tex] = 3

equation is y = 3x+1

The equation that is graphed below is y = 3x + 3. The correct option is C.

In mathematics, a graph can refer to a visual representation of a function, equation, or data.

Graphs can be used to illustrate the behavior of mathematical functions, show relationships between variables, and display patterns in data.

To identify the equation that is graphed in the given figure, we need to determine its slope and y-intercept.

The slope of a line is the rate at which it rises or falls as we move from left to right along the line. It is given by the coefficient of x in the equation of the line.

The y-intercept of a line is the point where it intersects the y-axis. It is given by the constant term in the equation of the line when x=0.

Looking at the graph, we can see that it passes through the y-axis at the point (0, 3), which gives us the y-intercept.

We can also see that the line rises by 3 units for every 1 unit it moves to the right, which gives us the slope.

So, the slope is 3 and the y-intercept is 3, which means the equation of the line is of the form y = 3x + 3.

Among the given options, the only equation that matches this form is C.

Therefore, the equation that is graphed in the given figure is y = 3x + 3, or option C.

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