Example :
x y
1 3
2 6
3 9
4 12
first thing u do is pick any 2 points (x,y) from ur table
(1,3) and (2,6)
now we sub those into the slope formula (y2 - y1) / (x2 - x1) to find the slope
(y2 - y1) / (x2 - x1)
(1,3)....x1 = 1 and y1 = 3
(2,6)...x2 = 2 and y2 = 6
sub
slope = (6 - 3) / (2 - 1) = 3/1 = 3
now we use slope intercept formula y = mx + b
y = mx + b
slope(m) = 3
use any point off ur table...(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 3(1) + b
3 = 3 + b
3 - 3 = b
0 = b
so ur equation is : y = 3x + 0....which can be written as y = 3x...and if u sub any of ur points into this equation, they should make the equation true....if they dont, then it is not correct
and if u need it in standard form..
y = 3x
-3x + y = 0
3x - y = 0 ...this is standard form
Answer:
Step-by-step explanation:
We want to find the sum of
We can rewrite this as
This becomes;
Recall that;
This implies that;
Combine like terms:
Since b = 3 the equation changes
5a - 10(3) = 45
5a - 30 = 45
(Add 30 to both sides)
5a = 75
Divide 5 to both sides
a = 15
Answer:
The equation of line with given points is y - 4 = 3 ( x + 2 ) .
Step-by-step explanation:
Given as :
The points of line are ( 1 , 13 ) and ( - 2 , 4 )
The point slope intercept equation of line is
y - 
= m ( x - 
)
Where m is the slope of line
So , Slope , m = 
Or, m = 
Or, m = 
∴ m = 3
Now The equation of line is
y - = m ( x - )
Or. y - 13 = 3 ( x - 1 )
Or, y - 13 = 3 x - 3
Or, y = 3 x - 3 + 13
∴ y = 3 x + 10
I.e y - 4 = 3 x + 6
Or, y - 4 = 3 ( x + 2 )
Hence The equation of line with given points is y - 4 = 3 ( x + 2 ) . Answer
Answer:
C
Step-by-step explanation:
7x + 3y = 30 (equation 1)
-2x + 3y = 3 (equation 2)
9x = 27 (subtract the two equations to eliminate y)
x = 3 (divide by 9)
7 * 3 + 3y = 30 (Substitute x = 3 into equation 1, it doesn't matter which equation you substitute into)
21 + 3y = 30 (7 * 3 = 21)
3y = 9 (Subtract 21)
y = 3 (divide by 3)
Answer is (3, 3)
