Write a linear equation given the two points
2. (3, 4) and (0,5)

y = -x/3 + 5

Step-by-step explanation:

Lets start by finding the slope between the two points. By using the equation:

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

we get that m = -1/3, or that the slope between the two points is -1/3.

Now we can use point-slope form to create the linear equation, but we are given the point (0,5), which tells us that the line will intersect the y-axis at y = 5, or that the y-intercept of the line will be 5. So we can use the slope intercept form to create a linear equation. Remember that the slope intercept form is:

y = mx + b

where b is the y-intercept and m is the slope. Now by plugging everything in, we get the equation:

y = -x/3 + 5

I hope you find this helpful. Happy studying. :)

the answer is d

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 .