Answer:
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Step-by-step explanation:
The slope-intercept form of an equation is given by:
here m is the slope of the line and b is the y-intercept
Given
Putting m=2 in the general form
In order to find the y-intercept, the given point (-3,1) will be substituted in the equation
So
Putting the value of b
Hence,
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Answer:
Step-by -step explanation:
Solving inequalities is similar to solving equations.
Subtract 10 from both sides.
Divide by 5 from both sides to isolate the x.
Answer:
1. Equilibrium solution: y= -3
2. Equilibrium solution y= ±1.414
Step-by-step explanation:
Thinking process:
The equilibrium solution can only be derived when
1. Let's look at the first equation:
equating to the expression
gives
y + 3 = 0
y = -3
Therefore, the equilibrium solution occurs at y = -3
2. Let's look at the second solution:
dividing each side by (t²-1) gives
1/(t²-1) = (y²-2)/ (y²-4)
factorizing the right hand side gives:
at equilibrium: , then
y² - 2 = 0
solving for y gives y = ±√2
= ±1.414