Could someone help on my algebra question?

It's kind of hard to read but I think I've identified three lattice points on the graph,

(-6,-3), (0,-1), (9,2)

Calculating slopes, change in y over change in x

(-1 - -3) / (0 - -6) = 1/3

(2 - -1) / (9 - 0) = 1/3

Those agree so we conclude

Slope 1/3

It's a line; it doesn't really start anywhere.  Let's use the y intercept:

Starting Value: at x=0 we start at y=-1

We have a slope and a y intercept so our equation is

y = (1/3)x - 1

Check:

(1/3)(-6)-1 = -3, good

(1/3)0 - 1 = -1, good

(1/3)(9) - 1 = 2, good

yes

step-by-step explanation:

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.