Find the slope first
m = (y₂ - y₁)/(x₂ - x₁)
m = (4-2)/(5-0)
m = 2/5
Find the slope-intercept equation
y - y₁ = m(x - x₁)
y - 2 = 2/5 (x - 0)
y - 2 = (2/5)x
y = (2/5)x + 2
Answer:
If the lines are parallel, final form of his solution is
b) -5 = -5+1
Step-by-step explanation:
As the options are not given in the question and the question is incomplete, lets complete the question first.
Giovani solves a system of linear equations algebrically, he concludes that the lines are parallel. Which could be his final answer.
a) -5 = -5
b) -5 = -5+1
c) 11 = 11
d) 5 = 5
We know that parallel lines never cross at any point, there is no intersection point, which eventually means that there is no solution to the given equations. A system of equations which have no solution is called an inconsistent system of equations, and it graphs the parallel line.
From the options we can clearly see that only (b) has no solution, while all the rest of the options have solutions. Hence, -5 = -5+1 represents parallel lines.
its the second option on edge
Answer: c) 3
<u>Step-by-step explanation:</u>
Plug in y = -9 and the given x-value to see if it makes a true statement.
a) -4.5 falls in the piecewise function x < -3 --> y = -x
y = -x
-9 = -(-4.5)
-9 = 4.5 FALSE
b) -3 falls in the piecewise function -3 ≤ x ≤ -2 --> y = 2x
y = 2x
-9 = 2(-3)
-9 = -6 FALSE
c) 3 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(-3)²
-9 = -9 TRUE
d) 9 falls in the piecewise function x > -2 --> y = -x²
y = -x²
-9 = -(9)²
-9 = -81 FALSE
Answer:
3 to the powered of 7
Step-by-step explanation:
