Question

Use point-slope form to write the equation of a line that passes through the point left bracket, minus, 20, comma, minus, 16, right bracket
(
−
20
,
−
16
)
(−20,−16) with slope minus, 1
−
1
−1.

Answer 1

The point-slope form of a linear equation is y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope of the line.

Using the given point (−20,−16) and slope -1, we can plug these values into the point-slope form:

y - (-16) = -1(x - (-20))

Simplifying the equation:

y + 16 = -1(x + 20)

The equation of the line is y + 16 = -x - 20.