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 .

6 cm

step-by-step explanation:

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