What is the slope and y-intercept of the graph of the equation? 3y + 4x = 12 slope = -4/3 and y-intercept = 12 slope = -4 and y-intercept = 12 slope = -4/3 and y-intercept = 4 slope = 3/4 and y-incercept = 3

Slope = -4/3

y intercept = 4

Step-by-step explanation:

Change the equation given  into slope intercept form

3y +  4x = 12

3y = -4x + 12

y = -4/3 + 12/3

y = -4/3 + 4

m = -4/3   b = 4

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis

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.