We have to calculate the slope of this line;
Given two points (x₁,y₁) and (x₂,y₂) the slope of the line passes through these points is:
m=(y₂-y₁)/(x₂-x₁)
We have many points in this line, we can choose any two points in this line.
For example:
(-4,-1)
(1/2,3)
The slope will be: m=(3+1)/(1/2+4)=4/(9/2)=8/9
Point-slope form of a line; We need a point (x₀,y₀)(any point of this line) and the slope "m";
y-y₀=m(x-x₀)
For example; the point can be ((-4,-1) and the slope of this line is 8/9
y+1=(8/9)(x+4)
y+1=8/9 x+32/9
9y/9+9/9=8/9 x+32/9
9y+9=8x+32
-8x+9y=32-9
-8x+9y=23 (equation in standard form)
Answer: A. -8x+9y=23
Step-by-step explanation:
f(x) has a slope of 1.
g(x) has a slope of -5
so k must be -5 to change f(x)'s slope from 1 to -5
Answer:
Last one:
2 x + 4 y = 6. 3 x minus 4 y = 9.
Step-by-step explanation:
2x + 4y = 6
3x - 4y = 9
4y = 3x - 9
2x + 3x - 9 = 6
5x = 15
x = 3
4y = 3(3) - 9
4y = 0
y = 0
Only one solution, which is (3,0)
Answer:
Y=42 and x=7
Step-by-step explanation:
Referring that both angles equal each other we will us an = in both equations
2y-27=y+15
Subtract y from both sides
y-27=15
Now add 27 to both sides
y=42
Now check the solution
2(42)-27=57
(42)+15=57
So it is true! y equals 42!
_____________________________________________
3x+4=5x-10
Subtract 3x from both sides
4=2x-10
Now add 10 to both sides
14=2x
Now divide both sides by 2
7=x
Now check the solution
3(7)+4=25
5(7)-10= 25
so it is true x=7!
Answer:
The area is 15 cm^2.
Step-by-step explanation:
Step 1: Start with the given formula.
Step 2: Then replace l and w with the given measures.
Step 3: Then do the calculation.
Step 1: A = lw
Step 2: A = (3 cm) * (5 cm)
Step 3: A = 15 cm^2
Answer: The area is 15 cm^2.