Find the equation of the following lines write the equation in the form ax+by=c with slope of 3 over 2 , through (-2, 1)

The standard form of the line is -3x + 2y = 8

Step-by-step explanation:

For this one, we can first put the equation in point slope form (since we have slope and a point).

y - y1 = m(x - x1)

y - 1 = 3/2(x + 2)

Now that we have this, we can manipulate the equation to put it in standard form.

y - 1 = 3/2(x + 2)

y - 1 = 3/2x + 3

y = 3/2x + 4

-3/2x + y = 4

-3x + 2y = 8

answer:

(-8,7)

explanation:

we know that  

f

(

−

3

)

=

7

therefore, if we wish to get the output as 7, in the function, we need to have our input to be -3.

looking at the function  

f

(

x

+

5

)

, what should the value of x be, such that the input in the function becomes 7?

we simply equate the terms,

x

+

5

=

−

3

x

=

−

8

thus, the point on the new function would be  

(

−

8

,

7

)