Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of a point on the line and m is the slope of the line.

In this case, the point is (10, 19) and the slope is -13/9. Substituting these values into the point-slope form gives:

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

Expanding the equation:

y - 19 = (-13/9)x + 130/9

y = (-13/9)x + 130/9 + 19

y = (-13/9)x + 130/9 + 171/9

y = (-13/9)x + 301/9

Therefore, the equation of the line that passes through the point (10, 19) with slope -13/9 is y = (-13/9)x + 301/9.