Algebra-1

To find the line perpendicular to y = 13x − 8 and passing through (0, 7), follow these steps:

 

Identify the slope of the given line y = 13x − 8:

The slope m is 13.

 

Determine the slope of the perpendicular line:

The slope of the line perpendicular to a line with slope 13 is the negative reciprocal. Thus, it is  .

 

Use the point-slope form to find the equation of the perpendicular line passing through (0, 7):

The point-slope form is:

Here, () is (0, 7) and m is .

 

Substitute these values:

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