Question

If 22x = 23, what is the value of x?انا اترا0دیا انہoo 0یانه

Answer 1

To get the y-intercept of the function, let us attempt to write out the function in the slope-intercept form.

The slope-intercept form of a linear equation is given to be:

`y=mx+b`

where m is the slope and b is the y-intercept.

To calculate the slope, let us make use of the formula:

`m=(y_2-y_1)/(x_2-x_1)`

We can pick any 2 ordered points from the table, such that:

`\begin{gathered} (x_1,y_1)=(1,6) \\ (x_2,y_2)=(2,3) \end{gathered}`

Therefore, we can calculate the slope to be:

`m=(3-6)/(2-1)=(-3)/(1)=-3`

Hence, the equation of the line will look like this:

`y=-3x+b`

We can get the value of b by substituting the ordered pair (1, 6) into the equation:

`\begin{gathered} 6=-3(1)+b \\ b=6+3 \\ b=9 \end{gathered}`

ANSWER

The equation of the line is gotten to be:

`y=-3x+9`

Hence, the y-intercept is 9.

The correct option is OPTION B.