20 ! brainliest answer included plus 5 star ! write an equation of the line containing the given point and perpendicular to the given line. (0 ,7); 9 x+5y=2

9 x+5y=2

find the slope by solving for y

subtract 9x from each side

5y = -9x+2

divide by 5

y = -9/5 x + 2/5

the slope is -9/5

perpendicular lines have negative reciprocal slopes

-9/5  becomes 5/9

point slope from of a line

(y-y1) = m(x-x1)

y-7 = 5/9 (x-0)

y-7 = 5/9 x

add 7 to each side

y = 5/9 x + 7

this is in slope intercept form

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

im pretty sure its

(8,15)

step-by-step explanation: