Slope = –1, y-intercept = 6

y=mx+c

where m is the slope/gradient and c is the y-intercept,

so with the values given we get the equation

y= -1x+6

to find the x intercept y=0

0= -1*x+6

-6=-1*x

-6/-1 = x

6=x

and to confirm the y-intercept... x=0

y= -1*0+6

y= 6

Step-by-step explanation:

Use the point-slope formula the equation of the line is :

y - y_1 = m(x - x_1)

in this exercice :  m = -1        x_1 = 0       y_1 = 6

so :  y - 6 = -1(x - 0)  

y = -x +6

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.