Answer:
-3
Step-by-step explanation:
You subtract y values and divide by difference in x values
2-5=-3
4-3=1
-3/1=-3
Answer:
8831.25 square feet
Step-by-step explanation:
Answer:
3.162 units
Step-by-step explanation:
First identify the points that undergo transformation
You have;
A = (0,0) and B =(1,3)
The transformation is T: (x,y)= (x+2, y+1), this means to get the image you add the x coordinate of the object to 2, and the y coordinate to 1.
<u>Finding coordinates of the image points A' and B' </u>
A'= (0+2,0+1) = (2,1)
B'=(1+2, 3+1)=(3,4)
<u>Finding the distance A'B'</u>
The formula for distance d is
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
where
x₁=2
x₂=3
y₁=1
y₂=4
d=distance between two points
Applying the formula
![d=\sqrt{(3-2)^2+(4-1)^2} \\\\\\d=\sqrt{1^2+3^2} \\\\\\d=\sqrt{1+9} \\\\\\d=\sqrt{10} \\\\\\d=3.162](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%283-2%29%5E2%2B%284-1%29%5E2%7D%20%5C%5C%5C%5C%5C%5Cd%3D%5Csqrt%7B1%5E2%2B3%5E2%7D%20%5C%5C%5C%5C%5C%5Cd%3D%5Csqrt%7B1%2B9%7D%20%5C%5C%5C%5C%5C%5Cd%3D%5Csqrt%7B10%7D%20%5C%5C%5C%5C%5C%5Cd%3D3.162)
The distance A'B' is √10 =3.162 units
Answer:1.5
Step-by-step explanation:
Answer:
y = -2x - 10
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
_____________________________
Given equation
y = -2x +4
comparing it with y = mx+ c
m = -2 , c = 4
_____________________________
when two lines are parallel, their slopes are equal.
Let the equation of new line in slope intercept form be y = mx + c
Thus slope of of new required line is -2
Thus m for new line is -2.
now, equation of required line : y = -2x+c
Given that this line passes through (-4, -2). This point shall should satisfy equation y = -2x+c.
Substituting the value of (-4, -2) we have
-2 = -2(-4)+c
=> -2 = 8 +c
=> -2 -8 = c
=> c = -10.
Thus , equation of required line is y = -2x - 10.