Y = mx + b
b: y-intercept (when x equals zero)
m: slope ((y₂ - y₁) ÷ (x₂ - x₁))
Y - Intercept:
To find the y-intercept, just look at the table. The y-intercept is whatever y equals when x equals zero. In this case it is -8.
Slope:
(y₂ - y₁) ÷ (x₂ - x₁)
Pick two points and substitute them into this equation. Let's use (-3, 1) and (-2, -2).
(-2 - 1) ÷ (-2 + 3)
-3 ÷ 1
-3
Now substitute these values back into the equation.
y = mx + b
y = -3x - 8
The answer is a.
Answer:
X=4
Step-by-step explanation:
4*4=16+7=23
Answer:
45
Step-by-step explanation:
Let the original number be xy where y is unit and x is tens hence original number is 10x+y When reversed, the new number is yz hence 10y+x
We know that the original number plus 9 is the reversed number hence
10x+y+9=10y+x
9y-9x=9 which when simplified we obtain that
y-x=1 equation 1
Originally, we are told that the sum of x and y is 9 hence
y+x=9 equation 2
Solving equation 1, it means y=x+1
Substituting the above into equation 2
x+1+x=9
2x=9-1
2x=8
x=8/2=4
Since y=x+1 then y=4+1=5
Therefore, the original number, xy is 45
Answer:
(1, 2 )
Step-by-step explanation:
Given the 2 equations
- 2x - y = - 4 → (1)
x + 2y = 5 → (2)
Multiplying (2) by 2 and adding result to (1) will eliminate x- term
2x + 4y = 10 → (3)
Add (1) and (3) term by term to eliminate x
0 + 3y = 6
3y = 6 ( divide both sides by 3 )
y = 2
Substitute y = 2 into either of the 2 equations and solve for x
Substituting into (2)
x + 2(2) = 5
x + 4 = 5 ( subtract 4 from both sides )
x = 1
solution is (1, 2 )
