Find the equation of the line with the slope - 2/9
and the y-intercept (0,2).
the equation of the line

ANSWER:  

The line equation with the slope and the y-intercept (0,2) is 2x + 9y – 18 = 0.

SOLUTION:

Given, slope of the line is and point on the line (0, 2).

We have to find the line equation.

As we have slope and a point, let us find the point slope form of the given equation.

Point slope form →

Where m is slope and is a point on that line

Here, in our problem,

Now, we get

9(y – 2) = -2x

9y – 18 = -2x

2x + 9y – 18 = 0

Hence, the line equation is 2x + 9y – 18 = 0.

the answer will be the last one

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50