Answer:
12) y = 2x + 8
13) ( -4, 3)
14) y + 3 = 1(x + 2) ; y = x - 1
Step-by-step explanation:
12) ( -2, 4) and (1, 10)
m=(y2-y1)/(x2-x1)
m= (10-4)/(1+2)
m=6/3
m = 2
y - y1 = m(x - x1)
y - 4 = 2(x + 2)
y - 4 = 2x + 4
y = 2x + 8
13)
y - y1 = m(x - x1)
y - 3 = 2(x +4)
( -4, 3)
14) ( -2, -3) and (4, 3)
m=(y2-y1)/(x2-x1)
m=(3+3)/(4+2)
m=6/6
m=1
y - y1 = m(x - x1)
y + 3 = 1(x + 2)
y + 3 = x + 2
y = x - 1
Answer:
They added 8 to each side, --8 is +8 so we need to subtract - from each side not add 8 to each side
Step-by-step explanation:
We have a slope and a point
We can use point slope form
y-y1 = m(x-x1)
y--8 = -6(x-2)
y+8 = -6(x-2)
Distribute the -6
y+8 = -6x+12
Subtract 8 from each side
ERROR in the students work
They added 8 to each side, --8 is +8 so we need to subtract - from each side not add 8 to each side
y+8-8 = -6x+12-8
y = -6x+4
Answer:
The answer to your question is these lines are not perpendicular.
Step-by-step explanation:
Data
A (4, 2)
B (-1, 4)
slope = m = 4
Perpendicular lines mean that these lines cross and form an angle of 90°. Also, the slope of perpendicular lines is negative reciprocals.
Process
1.- Find the slope of the second line and compare it to the slope given.
slope = 
Substitution
slope = 
Simplification and result
slope = 
-2/5 is not a negative reciprocal of 4, so these lines are not perpendicular.
Answer:
Step-by-step explanation:
eq of circle is (x-h)²+(y-k)²=r²
where (h,k) is center of circle and r is the radius.
given eq. of circle is (x+10)²+(y-4)²=100
or {x-(-10)}²+(y-4)²=10²
center is (-10,4)
and radius =10 units
