1(which equation in standard form has a graph that passes through the point (-4,2) and has a slope of 9/2 a) 9x-2y=36 b) 9x-2y=26 c) 9x-2y= -40 d) 9x-2y= -10 2(where is the equation in slope intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y=2/5x+2?

The correct answer is C

Step-by-step explanation:

To find the standard form of the line, start with the point-slope form and then  solve for the constant.

y - y1 = m(x - x1)

y - 2 = 9/2(x + 4)

y - 2 = 9/2x + 18

-9/2x + y - 2 = 18

-9/2x + y = 20

-9x + 2y = 40

9x - 2y = -40

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have