What is an equation in point-slope form for the line that passes through the points (−3,5) and (2,−3)? a. y−5=−85(x+3)
b. y−5=85(x+3)
c. y−3=−58(x+5)
d. y−3=−85(x+5)

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.

answer: yes, since the line has a steeper rate of change than the exponential the y-values will be greater and they will only intersect one time.