Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides
4y = 4x + 4 ( divide all terms by 4 )
y = x + 1 ← in slope- intercept form
with slope m = 1
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 1, thus
y = - x + c ← is the partial equation
To find c substitute (- 4, 5) into the partial equation
5 = 4 + c ⇒ c = 5 - 4 = 1
y = - x + 1 ← equation of perpendicular line
To simplify this, we first need to distribute the 2 into the parenthesis.
= 2 * x + 2 * 3 - 4
Now, we can simplify:
= 2x + 6 - 4
= 2x + 2
Hope this helps!
Answer:
y = -2x - 7
Step-by-step explanation:
x - 2y = 6
-2y = -x + 6
Divide the whole equation by (-2)

slope = 1/2
Slope of the line perpendicular to this line = -1/m = -1 ÷ (1/2)

(-3, - 1)
y -y1 = m(x -x1)
y - [-1] = -2(x - [-3])
y + 1 = -2(x + 3)
y + 1= x* (-2) + 3*(-2)
y + 1 = -2x - 6
y = -2x - 6 - 1
y = -2x - 7