Write the equation of a line that passes through the points (2,10) and (4,6)

-2x+14=y

Step-by-step explanation:

To find the equation of a line, you use the equation mx+b=y.

m=slope

x=x coordinate

y=y coordiante

b=y intercept

Slope:

to find the slope, you use the equation y2-y1/x2-x1

10-6/2-4

4/-2

-2

Y intercept:

-2(2)+b=10

-4+b=10

b=14

Equation: -2x+14=y

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

eventually after a few more steps, your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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.