Question

Use point-slope form to write the equation of a line that passes through the point (19,-12) with slope -3

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) is a point on the line and m is the slope.

Given that the point (x1, y1) is (19, -12) and the slope m is -3, we can substitute these values into the point-slope form.

y - (-12) = -3(x - 19)

Simplifying the equation,

y + 12 = -3x + 57

Rearranging the equation to standard form (Ax + By = C),

3x + y = 45

This is the equation of the line passing through the point (19, -12) with a slope of -3.