Drag numbers to write an equation for the line in slope-intercept form. Numbers may be used once, more than once, or not at all. Graph of a diagonal line with x-axis and y-axis. A line is passing through co-ordinates (0,5) and (2,-3).

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.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.

the figure is a concave pentagon.

step-by-step explanation:

in mathematical context, a pentagon is a flat, two-dimensional closed shape (polygon) with 5 straight sides and 5 angles.

now a pentagon is said to be concave if one or more corners bend inwards and at least one of its angles is 180 degrees or more than 180 degrees.

in the given figure, we can see that we have a corner which is bending inwards and an angle which is clearly greater than 180°. therefore, it is a concave pentagon.