Answer
y = -2x - 26
Step-by-step explanation
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.
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
So, for this question, we will start with writing the equation in the point-slope form aswe are given the coordinates of a point on the line and a way to obtain the slope of the line first.
We will then simplify the result to obtain the equation of the line in slope-intercept form.
y - y₁ = m (x - x₁)
Point = (x₁, y₁) = (-9, -8)
For the slope, we will obtain it from the line parallel to our required line.
Parallel lines have the same slopes, and in y = -2x + 4,
Slope = -2
We can then write the equation for the line
y - y₁ = m (x - x₁)
y - (-8) = -2 [x - (-9)]
y + 8 = -2 (x + 9)
We will then simplify it to the required form
y + 8 = -2x - 18
y = -2x - 18 - 8
y = -2x - 26
Hope this Helps!!!