Through : (4,2),parallel to y =-3/4x-5
solve for y

y = x + 5

Step-by-step explanation:

The Line equation is:

y =

The line equation is in the form of y = m x + c

Slop of this line is (m1) =

Let another line with slop (m2) , passes through point (4 , 2)

As per question the another line is parallel to the given line equation

So, slop of both the lines are  equal  

∴ (m2) = (m1) =

Hence equation of another line with slop and passing through points ( 4 , 2) is

y - y1 = (m2) (y - x1)

I.e  y - 2 = (x - 4)

Or,  

Or , 4y - 8 =  -3x + 12

Or,   4y     =  -3x + 12 + 8

Or , 4y      =  -3x + 20

∴        y = x + 5

Hence The value of y = x + 5    Answer

last option: rhombus or kite

step-by-step explanation:

a kite and rhombus have the same shape. as we don't have any specific formula for the calculation of area of kite. the diagonals are used to calculate the area of a kite or rhombus.

the formula for area of rhombus is given by:

here, d_1 is the first diagonal and d_2 is the second diagonal.

so,

last option is the correct answer ..

-2x + 7 = 7

subtract 7 from both sides.

-2x = 0

divide both sides by -2.

x = 0