Question

Write the equation of the line in point-slope form using the given points (-9, 19) and (10, -11).

Answer 1

To write the equation of a line in point-slope form, use the formula 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.

Step-by-step explanation:

To write the equation of a line in point-slope form, we use the formula:

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.

Given the points (-9, 19) and (10, -11), we can calculate the slope:

m = (y2 - y1) / (x2 - x1) = (-11 - 19) / (10 - (-9)) = -30 / 19

Using the first point (-9, 19), we can substitute the values into the point-slope form equation:

y - 19 = (-30 / 19)(x - (-9))

Simplifying, we have:

y - 19 = (-30 / 19)(x + 9)

This is the equation of the line in point-slope form.