What is an equation in slope-intercept form of the line that passes through (6, 10) and is parallel to the graph of y=1/3x−1?

Given:

The equation of line is

To find:

The equation of line in slope-intercept form parallel to given line and passes through (6,10).

Solution:

The slope intercept form of a line is

      ...(i)

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

The equation of given line is

         ...(ii)

On comparing (i) and (ii), we get

Slope of given line is .

We know that slope of parallel lines are same. So, the slope of required line is .

Since slope of required line is and it passes through (6,10), therefore the equation of line is

Add 10 on both sides.

Therefore, the required equation of line is .

answer: solve 5\cdot 2^x=2405⋅2  

x

=2405, dot, 2, start superscript, x, end superscript, equals, 240.

solution

to solve for xxx, we must first isolate the exponential part. to do this, divide both sides by 555 as shown below. we do not multiply the 555 and the 222 as this goes against the order of operations!

\begin{aligned} 5\cdot 2^x& =240 2^x& =48 \\ \end{aligned}  

5⋅2  

x

2  

x

​    

=240

=48

​

step-by-step explanation:

22

step-by-step explanation:

22