To find the slope and the y-intercept of this equation, we need to first convert it to slope-intercept form. (y = mx + b)
To convert it, we need to first isolate the y term by subtracting 6x from both sides of the equation.
6x - 6x - 3y = -9 - 6x
-3y = -9 - 6x
Now that the y term is on one side of the equation, we can continue.
Divide <em>everything </em>on the left side of the equation by the coefficient on the right side of the equation. In this case, the number is 3.
y = -3 - 2x
Flip some of those numbers around to get this:
y = 2x - -3
Get rid of the double negative. (Change 2x - -3 into 2x + 3)
y = 2x + 3
Now that we've converted the equation, we can identify the slope (the number beside x) and y-intercept (the number that stands alone)
Slope: 2
Y-intercept: 3
Answer:
LN=37 units
Step-by-step explanation:
In this problem I will assume that M is a point between point L and point N
therefore
LN=LM+MN
substitute the given values
LN=22+15=37 units
I think it’s either A or C
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
