Answer :
Answer:First, we need to find the slope of the given line. Since it's in the form y = mx + b, where m is the slope, we can see that the slope is 2.
The slope of the perpendicular line will be the negative reciprocal of 2, which is -1/2.
Now, we can use the point-slope form of a line to find the equation of the perpendicular line:
y - y1 = m(x - x1)
where (x1, y1) is the point (2, 4), and m is the slope -1/2.
Plugging in the values, we get:
y - 4 = (-1/2)(x - 2)
To simplify, we can multiply both sides by 2 to eliminate the fraction:
2y - 8 = -x + 2
Now, let's add x to both sides and add 8 to both sides:
2y + x - 6 = 0
Dividing both sides by 2, we get:
y + (1/2)x - 3 = 0
Rounding to the nearest tenth, the equation is:
y + 0.5x - 3 = 0
So, the equation of the line perpendicular to y = 2x - 9 and passing through the point (2, 4) is y + 0.5x - 3 = 0.
Step-by-step explanation:
