Answer
An equation for this line in point-slope form is:
y - 1 = -1 (x - 2)
An equation for this line in slope-intercept form is:
y = -x + 3
Step-by-step explanation
The general form of the equation in point-slope form is
y - y₁ = m (x - x₁)
where
y = y-coordinate of a point on the line.
y₁ = This refers to the y-coordinate of a given point on the line
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
x₁ = x-coordinate of the given point on the line
Slope = m = -1
Point = (x₁, y₁) = (2, 1)
x₁ = 2
y₁ = 1
y - y₁ = m (x - x₁)
y - 1 = -1 (x - 2)
We can then simplify this to obtain the equation of the line in slope-intercept form
y - 1 = -1 (x - 2)
y - 1 = -x + 2)
y = -x + 2 + 1
y = -x + 3
Hope this Helps!!!