What is the equation of a line that passes through the point (8, 1) and is perpendicular to the line whose equation is y=−2/3x+5 ? enter your answer in the box.

y=3/2x - 11

Step-by-step explanation:

To write the equation of a line we must have a slope and a point. To find the slope, take the slope from the equation -2/3 and make the negative reciprocal of it. All perpendicular lines have negative reciprocal slopes between the two lines. The slope is 3/2.

Now that we have the slope, plug in the slope and choose one point to plug into the point slope formula. Use the point-slope form to write the equation, then simplify and convert into the slope intercept form.  

(y-1)=3/2(x-8)  

y-1= 3/2x -12

y=3/2x - 11

y=mx+b is the final answer!   : )

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

happy to

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