Given the point:
(-4, 27)
Let's determine the equation of a line that is parallel to (y = -4 + 1) amd passes through the given point.
Apply the slope intercept form of a linear equstion:
y = mx + b
Where:
• m is the slope
,
• b is the y-intercept.
Here, we have:
y = -4x + 1
Where:
• Slope = -4
,
• y-intercept = 1
Parallel lines have equal slopes.
Since parallel lines have the same slope, the slope of the line parallel to the given line is also -4.
Now, substitute -4 for m, and input the values of the point for x and y in (y = mx + b) to solve for b.
(x, y) ==> (-4, 27)
y = mx + b
27 = -4(-4) + b
27 = 16 + b
Subtract 16 from both sides:
27 - 16 = 16 - 16 + b
11 = b
b = 11
Therefore, the equation of the parallel line is:
y = -4x + 11
ANSWER:
