Answer:
D. They have the same y-intercep
Step-by-step explanation:
Before the comparison will be efficient, let's determine the equation of the two points and the x intercept .
(–2, –9) and (4, 6)
Gradient= (6--9)/(4--2)
Gradient= (6+9)/(4+2)
Gradient= 15/6
Gradient= 5/2
Choosing (–2, –9)
The equation of the line
(Y+9)= 5/2(x+2)
2(y+9)= 5(x+2)
2y +18 = 5x +10
2y =5x -8
Y= 5/2x -4
Choosing (4, 6)
The equation of line
(Y-6)= 5/2(x-4)
2(y-6) = 5(x-4)
2y -12 = 5x -20
2y = 5x-8
Y= 5/2x -4
From the above solution it's clear that the only thing the both equation have in common to the given equation is -4 which is the y intercept
Answer:
1) 34 square meters
2) 21 square yards
Step-by-step explanation:
1) 7x4=28
1/2x3x2x2=6
28+6= 34 square meters
2)3x3=9
1/2x3x2x4=12
9+12= 21 square yards
Answer:
6m
Step-by-step explanation:
h=3(/V
πr^2)=3(226/
π·6^2)≈5.99484
round to 6
Answer:
y =
x - 12
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 )
y = -
x ← is in slope- intercept form
with slope m = -
, c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y =
x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y =
x - 12 ← equation of perpendicular line