This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where
m=slope of line
(x0,y0) is a point through which the line passes.
We know that the line passes through A(3,-6), B(1,2)
All options have a slope of -4, so that should not be a problem. In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.
So we can check which line passes through which point:
a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3) means that line passes through A(3,-6) => ok
b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
****** this equation is not the line passing through A & B *****
c. y=-4x+6 subtract 2 from both sides (to make the y-coordinate 2)
y-2 = -4x+4, rearrange
y-2 = -4(x-1)
which means that it passes through B(1,2), so ok
d. y-2=-4(x-1)
this is the same as the previous equation, so it passes through B(1,2),
this equation is ok.
Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
Answer:
102.3
Step-by-step explanation:
a_38 = -5
difference d= -2.9
We use general formula
WE make the formula for a_38 th term
Plug in 38 for n
Now plug in -2.9 for d and -5 for a_38
Now add 107.3 on both sides
102.3 = a_1
option A is correct
x²-6x=0
x(x-6)=0
Two solutions are possible:
x=0
x=6
The remainder of 6728 divided by 70 is 8, This is because when 6728 is divided by 70, 70 goes into 6728, 96 times evenly. And there is only 8 left.
Answer: A y= -4x + 2
Step-by-step explanation:
y= mx + b
when x is 0, y is 2 which you make the y intercept (b) 2
going from x=0 to x=1, the y coordinate moves down 4, so the slope would be -4
:)
