I need help on number 10 please!

y = 4x/3 - 5/2

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

c represents the y intercept

m = slope = (y2 - y1)/(x2 - x1)

The given line, L1 passes through A(6, - 7) and B(- 6, 2). The slope of line L1 is

m = (2 - - 7)/(- 6 - 6) = 9/ -12 = - 3/4

If two lines are perpendicular, it means that the slope of one line is the negative reciprocal of the slope of the other line.

Therefore, the slope of line L2 passing through the midpoint, M is 4/3

The formula determining the midpoint of a line is expressed as

[(x1 + x2)/2 , (y1 + y2)/2]

Midpoint, M = [(6 + -6)/2 , (- 7 + 2)/2]

= (0, - 5/2]

This means that the y intercept of line L2 is - 5/2

The equation of L2 becomes

y = 4x/3 - 5/2

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

my dear correct answer is option number 3