Agiven line had the equation 10x+2y=-2 what is the equation, in slope intercept form, of the line that is parallel to the given line and passes through the point (0,12)

y = - 5x + 12

the equation of a line in ' slope- intercept form ' is

y = mx + c where m is the slope and c the y- intercept

rearrange 10x + 2y = - 2 into this form

2y = - 10x - 2 ⇒ y = - 5x -1 ( with m = - 5 )

note that parallel lines have equal slopes

Thus the slope of the parallel line is m = - 5

given the line passes through ( 0 , 12 ) then c = 12

equation of parallel line is y = - 5x + 12

step-by-step explanation:

your mom

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.