Box with four balls weighs 5 pounds the same box with 10 balls weighs 11 pounds write an equation in slope intercept form for the weight of why of a box containing X balls then rewrite rewrite the equation in standard form using integer coefficients

Step-by-step explanation:

The equation of a straight line can be represented in the slope-intercept form, y = mx + c

Where c = intercept

Slope, m = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 - x1

y2 = final value of y

y 1 = initial value of y

x2 = final value of x

x1 = initial value of x

The line passes through (2,-1) and (4,5),

y2 = 11

y1 = 5

x2 = 10

x1 = 4

Slope, m = (11 - 5) / (10 - 4) = 6/6 = 1

To determine the intercept, we would substitute x = 4, y = 5 and

m = 1 into

y = mx + c. It becomes

5 = 1 * 4 + c = c + 4

c = 5 - 4 = 1

The equation becomes

y = x + 1

The standard form is represented as

Ax + By + C = 0

y - x - 1 = 0

Multiplying through by - 1, it becomes

x - y + 1 = 0