Question

Use point-slope form to write the equation of a line that passes through the point (10,−19) with slope − 13/9

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Answer 1

y + 19 = -13/9(x - 10)

Explanation:

The general equation of the point-slope form is given by:

y - y1 = m(x - x1), where

• (x1, y1) is any point on the line,
• and m is the slope.

Thus, we can find the equation of the line in point-slope form by substituting (10, 19) for (x1, y1) and -13/9 for m:

y - (-19) = -13/9(x - 10)

y + 19 = -13/9(x - 10)

Therefore, y + 19 = -13/9(x - 10) is the equation of the line in point-slope form that passes through the point (10, 19) and has the slope -13/9.