I NEED MORE HELP THIS IS DIFFICULT:(

A. The slope is 7/2, The y-intercept is (0,-3)

Step-by-step explanation:

The slope of a line passing through two points P=(x1,y1) and Q=(x2,y2) is given by m=y2−y1x2−x1.

We have that x1=0, y1=−3, x2=2, and y2=4.

Plug the given values into the formula for a slope: m=4−(−3)/2−0=72.

Now, the y-intercept is b=y1−mx1 (or b=y2−mx2, the result is the same).

b = -3 - (7/2) × (0) = -3

Finally, the equation of the line can be written in the form y=b+mx:

y = 7/2x - 3

step-by-step explanation:

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 .