Question

Write an equation of the line, in point-slope form, that passes through the two given points.

points: (-10,18), (6,-14)

Answer 1

The equation of the line, in point-slope form, that passes through the points (-10, 18) and (6, -14) is y = -2x - 2.

Step-by-step explanation:

To write the equation of a line in point-slope form, we need to find the slope and a point on the line. The slope can be calculated using the formula:
m = (Y₂ - Y₁) / (X₂ - X₁)

Using the given points (-10, 18) and (6, -14), we have:
m = (-14 - 18) / (6 - (-10))
m = -32 / 16
m = -2

Now, let's choose one of the points, say (-10, 18), and substitute the values of m, x, and y into the point-slope form equation:
y - y₁ = m(x - x₁)
y - 18 = -2(x - (-10))
y - 18 = -2(x + 10)
y - 18 = -2x - 20
y = -2x - 2