Find the x-intercept of the equation:
6x + 2y = 12

Thus, the x-intercept is x=2, or the point (2,0)

Step-by-step explanation:

The x-intercept of the equation of a line

Given the equation of a line in its general form:

Ax + By = C

The x-intercept is the point through which the line passes when it's crossing the y-axis.

Since the crossing with the x-axis occurs when y=0, then we should set y to zero and solve the resulting equation.

We are given the equation:

6x + 2y = 12

Set y=0:

6x = 12

Divide by 6:

x = 2

Thus, the x-intercept is x=2, or the point (2,0)

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

)