Answer:
y = 
x + 
or 12y = 9x -32 or y - 1/3 =3/4(x-4)
Step-by-step explanation:
The equation of a line in the slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.
The other form is the point-slope form where the point (x₁, y₁) and a slope m are given, and you have to plug it into formula:
y – y₁ = m(x – x₁)
Here:
y - 1/3 =3/4(x-4)multiply both sides by 12 to loose fraction
12y -4 = 9(x-4) distribute
12y -4 = 9x -36 add 4 on both sides
12y = 9x -32 divide by 12
y = 
x + 
simplify factions
y = x +
Answer:
2x-3y+z
Step-by-step explanation:
-2x-y-2z+4x-2y+3z
combine like terms
-2x+4x= 2x
-y-2y= -3y
-2z+3z= z
so..
2x-3y+z
Answer: GCF of 13 and 17 is 1. 2.
Step-by-step explanation: Greatest common factor (GCF) of 13 and 17 is 1. We will now calculate the prime factors of 13 and 17, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13 and 17.
Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.
R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)
So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.
