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Aloiza [94]
2 years ago
6

Which is the correct equation of the line for the following graph?

Mathematics
1 answer:
Wewaii [24]2 years ago
3 0

Answer:

  (c)  y = -3x +6

Step-by-step explanation:

The equation can be written in slope-intercept form when we know the slope and the y-intercept.

<h3>Slope-intercept form</h3>

The slope-intercept form of the equation of a line is ...

  y = mx +b . . . . . . where m is the slope and b is the y-intercept

<h3>Y-intercept</h3>

The y-intercept is the y-value where the line crosses the y-axis. It is 6. This eliminates choices A and D, leaving choices ...

  • y = 3x +6 . . . . . choice B
  • y = -3x +6 . . . . .choice C

<h3>Slope</h3>

The line goes down to the right. This is a negative slope, eliminating choice B.

The equation of the line is y = -3x +6.

__

<em>Additional comment</em>

The line intersects the x-axis at x=2. This means the "rise" of the line is -6 units for a "run" of 2 units. The numerical value of the slope is ...

  m = rise/run = -6/2 = -3

Now, we know the parameters of the equation are m=-3, b=6, and the equation of the line is

  y =-3x +6

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