Answer
y = -4x + 4
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
We will then simplify this to obtain the equation of the line in slope-intercept form.
Point = (x₁, y₁) = (2, -4)
For the slope, two parallel lines always have the same slopes
The slope and y-intercept form of the equation of a straight line is given as
y = mx + b
where
y = y-coordinate of a point on the line.
m = slope of the line.
x = x-coordinate of the point on the line whose y-coordinate is y.
b = y-intercept of the line.
y = -4x + 9
Slope = m = -4
So, for our required line,
Point = (x₁, y₁) = (2, -4)
Slope = m = -4
Recall,
y - y₁ = m (x - x₁)
y - (-4) = -4 (x - 2)
y + 4 = -4x + 8
y = -4x + 8 - 4
y = -4x + 4
Hope this Helps!!!