The perpendicular line will have a slope of b/a.
To find this, we first have to solve our equation for slope intercept form.
ax + by = c ----> subtract ax
by = -ax + c ----> divide by b
y = -a/bx + c/b.
So we know the slope of this equation to be -a/b. Since perpendicular lines have opposite and reciprocal slopes, we know we can simply flip the fraction and make it a negative to get the new slope of b/a.
Answer:
y = 2/5x + 4
Step-by-step explanation:
Points on the line:
(0,4) and (5,6)
Slope formula:
m=(y2-y1)/(x2-x1)
m=(6-4)/(5-0)
m= 2/5
y - y1 = m(x - x1)
y - 4 = 2/5(x - 0)
y - 4 = 2/5x
y = 2/5x + 4
Answer:
(p - 3)(q + 1)
Step-by-step explanation:
Rearrange the terms in the expression as
pq - 3q + p - 3 ( factor the first/second and third/fourth terms )
= q(p - 3) + 1(p - 3) ← factor out (p - 3) from each term
= (p - 3)(q + 1) ← in factored form
Answer:
5
Step-by-step explanation:
Slope (m) =
ΔY
ΔX
=
5
1
= 5
θ =
arctan( ΔY )
ΔX
= 78.69006752598°
ΔX = 1 – -3 = 4
ΔY = 2 – -18 = 20
Distance (d) = √ΔX2 + ΔY2 = √416 = 20.396078054371
Equation of the line:
y = 5x – 3
When x=0, y = -3
When y=0, x = 0.6
Answer:
the one thats not equal to 16 is the last one; 8^2
Step-by-step explanation:
all of them equal 16 but 8^2 is 64