Answer:
y = 1/2x - 4
Step-by-step explanation:
If two lines are perpendicular to each other, they have opposite slopes.
The first line is y = -2x + 8. Its slope is -2. A line perpendicular to this one will have a slope of 1/2.
Plug this value (1/2) into your standard point-slope equation of y = mx + b.
y = 1/2x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -2). Plug in the x and y values into the x and y of the standard equation.
-2 = 1/2(4) + b
To find b, multiply the slope and the input of x (4)
-2 = 2 + b
Now, subtract 2 from both sides to isolate b.
-4 = b
Plug this into your standard equation.
y = 1/2x - 4
This equation is perpendicular to your given equation (y = -2x + 8) and contains point (4, -2)
Hope this helps!
Answer:
3
Step-by-step explanation:
the slope of a perpendicular line is the negative reciprocal of the original slope
a reciprocal is the inverse of a number, to find the reciprocal, just flip the numerator and denominator
in this cause, the slope is -1/3
the negative of it is 1/3 and the reciprocal is 3
therefore the slope of the perpendicular line is 3
The answer is y=2x+5
To get it use point slope by taking two points and solving .
Slope formula
M= y2-y1/x2-x1
With two points
(0,5)(-5,-5)
M= -5-5/-5-0
M= -10/-5
M=2
2 is slope
Now get one of the points
(0,5) And slope to create equation y=mx+b . Now find b
5=2(0)+b
5=b
So now you can put it all together
Y= 2x+5
Answer:
Translations
y = f (x) + k up k units
y = f (x) - k down k units
y = f (x + h) left h units
y = f (x - h) right h units
Stretches/Shrinks
y = m·f (x) stretch vertically by a factor of m
y = ·f (x) shrink vertically by a factor of m (stretch by
y = f (x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by )
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
Hope this helps
Step-by-step explanation:
