1/2(x+4)=y-2 2x-y=4 find the slope, x-intercept, and y-intercept for both equations

The slope-intercept form: y = mx + b

m - slope

b - y-intercept

We have -1/2(x + 4) = y - 2      use distributive property

(-1/2)(x) + (-1/2)(4) = y - 2

-1/2 x - 2 = y - 2       add 2 to both sides

-1/2 x = y → y = -1/2 x + 0

slope: m = -1/2

y-intercept: b = 0

x-intercept for y = 0. Substitute:

-1/2 x = 0         multiply both sides by -2

x = 0

2x - y = 4      sutract 2x from both sides

-y = -2x + 4      change the signs

y = -2x + 4

slope: m = -2

y-intercept: b = 4

x-intercept for y = 0. Substitute:

-2x + 4 = 0       subtract 4 from both sides

-2x = -4       divide both sides by -2

x = 2

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.

one set of data has more variation than the other. hope this !