The line is parallel to y= 2x + 1 and passes through point (-2,-1).
Answers
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 : )
Related Questions
What number is 42.5% of 59.2
What is 12/16 in it's lowest term
Use elimination to solve this system of equations. 2r + 3s= 9 and 3r + 2s= 12
Help me with this question
Answers
Answers
Soooo
8 + 10 + 6 = 24
So the perimeter of this triangle is 24cm
love, the Pineapple.
8 + 10 + 6 = 24 cm
x = -2 and decreasing from x = -2 to x = 10.
B. The graph crosses the y-axis at -8,0), increasing from * = -10 to
x = -2 and decreasing from x = -2 to x = 10
C. The graph crosses the y-axis at (0,7), increasing from x = -10 to
x = -2 and remaining constant from x = -2 to x = 10.
D. The graph crosses the y-axis at (0,7), increasing from x= -10 to
X = 0 and decreasing from x = 0 to x = 10
Answers
AAnswer:
Step-by-step explanation:
J
Answers
The volume of the sphere will be 0.52 cubic mm. Then the correct option is C.
What is the volume of the sphere?
Let r be the radius of the sphere.
Then the volume of the sphere will be
V = 4/3 πr³ cubic units
The expression is given below.
Where r is the radius of the sphere and V is the volume of the sphere.
A beverage manufacturer performs a taste test and discovers that people like their fizzy beverages best when the radius of the bubbles is about 0.5 mm.
The expression is solved for V, then the equation will be
Then the volume of the sphere will be
V = (4/3) × π × 0.5³
V = 0.52 cubic mm
Thus, the volume of the sphere will be 0.52 cubic mm.
Then the correct option is C.
More about the volume of the sphere link is given below.
#SPJ5
Answer with explanation:
Radius of the Bubble = 0.5 mm
Volume of the bubble is given by the formula
Taking cube on both sides
Gives,→ V=0.52 mm³(approx)
Option C: about 0.52 mm³
Answers
To solve the problem the first step is to multiply the whole number by the fraction's denominator (4 x 3).Add the numerator (2) to the product.
4 * 3 = 12
12 + 2 = 14
= 14/3
3*4=12
Now add the numerator.
12+2=14
14 is the numerator, denominator stays the same.
You answer is 14/3!
B. d(x) = –9
C. m(x) = –7x
D. p(x) = |x|
Answers
Answer C