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What is the equation of the following line? Be sure to scroll down first to see all answer options. (-2,-8) ( 0,0)

What is the equation of the following line? Be sure to scroll down first to see all-example-1
User Jedidiah
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1 Answer

6 votes

Answer:

y = -4x

Explanation:

We can find the equation of the line in slope-intercept form, whose general equation is given by:

y = mx + b, where

  • m is the slope,
  • and b is the y-intercept.

Finding the slope (m):

  • We can find the slope (m) using the slope formula, which is given by:

m = (y2 - y1) / (x2 - x1), where

  • (x1, y1) is one point on the line,
  • and (x2, y2) is another point on the line.

Thus, we can plug in (0, 0) for (x1, y1) and (2, -8) for (x2, y2) to find m, the slope of the line:

m = (-8 - 0) / (2 - 0)

m = -8/2

m = -4

Thus, the slope of the line is-4.

Finding the y-intercept (b):

  • We see that the point (0, 0) lies on the line so the y-intercept is 0 since the line intersects the y-axis at (0, 0).
  • When the y-intercept is 0, we don't write it in the equation.

Thus, the equation of the line is y = -4x.

User Andrew Leap
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