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Write the equation of the line

Write the equation of the line-example-1
User AggelosK
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1 Answer

1 vote

Answer:

y = 6/5x - 6

Explanation:

The general equation for the slope-intercept form is given by:

y = mx + b, where

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

Step 1: Find m, the slope of the line:

We can find the slope of a line using the slope formula, which is given by:

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

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

We can see from the graph that passes through (0, -6) and (5, 0).

Thus, we can plug in (0, -6) for (x1, y1) and (5, 0) for (x2, y2) into the slope formula to find m, the slope of the line:

m = (0 - (-6)) / (5 - 0)

m = (0 + 6) / (5)

m = 6/5

Thus, the slope is 6/5.

Step 2: Find b, the y-intercept of the line:

We see that the line intercepts the y-axis at the point (0, -6).

Thus, the y-intercept is -6.

Step 3: Form the equation in slope-intercept form

Therefore the equation of the line is y = 6/5x - 6.

User Rob Van Pamel
by
7.7k points

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