Answer:
y = 2x + 3
Step-by-step explanation:
To find the equation of a line, you need 2 things:
1) gradient/slope
2) 1 set of x and y coordinates
To find the slope:
If 2 lines are parallel, they have exactly the same gradient.
So, this line will have a slope of 2 as well (the slope of a line is the coefficient of x in the equation).
To find the equation of the line:
Start with this generic equation:
y - y1 = m (x-x1)
We know that:
(x1, y1) -> (-2, -1) and m= 2
So, we can substitute for the equation:
y- (-1) = 2 (x -(-2))
Simplify, by expanding the brackets:
y + 1= 2 (x+2)
y + 1 = 2x + 4
Rearrange for y:
y = 2x + 3
To double check:
1) The coefficient of x is the slope, we have 2x and the slop is 2, so that's correct
2) Sub in x= -2, and you should get y=-1
y = -4 + 3 = -1, so that's correct too
Hope that helped : )
Answer:
V is the Roman numeral for 5 (X = 10) and was used on US Liberty nickels from 1883 to 1912, and on Canadian nickels
Step-by-step explanation:
Answer:
(C)The finish line
A) 2x+10
B) 5x-15
C) 8x+6
D) 12x-8
Factorization of an algebraic expression means to write the given expression as a product of its factors.
The factorized form are:
A) 2x+10 = 2 ( x + 5 )
B) 5x-15 = 5 ( x - 3 )
C) 8x+6 = 2 ( 4x + 3 )
D) 12x-8 = 4 ( 3x - 2 )
Factorization of an algebraic expression means to write the given expression as a product of its factors.
These factors can be numbers, variables, or algebraic expressions.
We have,
A) 2x + 10
we have a common factor of 2.
= 2x + 10
= 2 ( x + 5 )
B) 5x - 15
We have a common factor of 5.
= 5x - 15
= 5 ( x - 3 )
C) 8x + 6
We have a common factor of 2.
= 8x + 6
= 2 ( 4x + 3 )
D) 12x - 8
We have a common factor of 4.
= 12x - 8
= 4 ( 3x - 2 )
Thus the factorized form are:
A) 2x+10 = 2 ( x + 5 )
B) 5x-15 = 5 ( x - 3 )
C) 8x+6 = 2 ( 4x + 3 )
D) 12x-8 = 4 ( 3x - 2 )
Learn more about factorization here:
#SPJ2
Step-by-step explanation:
A .2x+10
2(x+5)
B. 5x-15
5(x-3)
C. 8x+6
2(4x+3)
D. 12x-8
4(3x-2)