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Step-by-step explanation:

The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.

For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).

We are between Options B and C.

In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.

In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.

Since we want 3 as the slope,

The answer is Option C.

The graph C represents y=3x+2​

What is a Graph?

A diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.

How to determine?

The general form of a straight line is y = mx + c, where m is the line's slope and c is the y-intercept.

For y = 3x + 2, the slope is positive 3 and the y-intercept is 2. The line should rise up and pass through the point (0, 2).

We are between Options B and C.

In Graph B, the line raises by 4 units for every 2 units across. Hence its slope is 4/2 = 2.

In Graph C, the line raises by 3 units for every 1 unit across. Hence its slope is 3/1 = 3.

Since we want 3 as the slope,

The answer is Option C.

Learn more about Graphs:

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