Answer:
y=0.5x+8
Step-by-step explanation:
Use the formula for the equation of a line y=mx+c where m is the slope and c is a number.
To find the slope, take two points (x₁,y₁) (x₂,y₂) and put them into the slope equation m=(y₂-y₁)/(x₂-x₁):
We can take two points from the graph: (2,9) (4,10)
m=(y₂-y₁)/(x₂-x₁)
m=(10-9)/(4-2)
m=1/2 or 0.5
Now sub this value in for m and our formula looks like this:
y=0.5x+c
To find the value of c, sub in one of the points, eg. (4,10)
y=0.5x+c
10=0.5(4)+c
10=2+c
c=8
So now that we now m and c, our equation is complete :D
y=0.5x+8
Write the equation of a line that is parallel to y=-5/4x + 7
Any line parallel to the given line will have the same slope. In an equation presented in the y-intercept form, the slope is always the coefficient of "x". In this case, the slope is -5/4 (meaning the next point is down 5, and 4 to the right).
Our equation so far looks like this: y = -5/4x + b
"b" represents the y-intercept. To solve for be, we will need to substitute values into x and y. The next piece of information it gives us is one of the points, or solutions, of the line. This means that since this point is on the line, we can use its x and y values to substitute.
x = -4
y= 1
y = -5/4x + b
1 = -5/4(-4) + b
1 = 5 + b
-4 = b
Final Answer: y = -(5/4)x -4
Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
Step-by-step explanation:
dilatation with scale factor (k) = 2
