What is the equation in slope intercept form of the line that goes through (2,4) and is perpendicular to the line represented by y=-2/3x+6

Step-by-step explanation:

The slope-intercept form of a straight line equation is y = mx + c, where m is the slope and c is the y-intercept of the line.

Now, we know that if two straight lines are perpendicular to each other then the product of their slopes will be -1.

So, the equation of a straight line which is perpendicular to the line will be ....... (1), where c' is constant.

Given that the line (1) passes through (2,4) point.

Hence,

⇒ c' = 1.  

Therefore, the final equation of the required straight line is . (Answer)

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c

step-by-step explanation: