Question

The table shows the number of parts, y, a machine produces each hour, x. Write an equation for this situation and indicate if this is proportional or no proportional.

Y(number of parts) 0, 125, 250, 375, 500
X(number of hours) 0, 1, 2, 3, 4

Answer 1

y-6x=5 in slope intercept form

Answer 2

x-y=6 using the form y=mx+b

Answer 3

Graphed?

Answer 4

The equation for this situation is y = 125x.

This is a proportional relationship because each hour, the machine produces 125 more parts.

Answer 5

To write the equation y - 6x = 5 in slope-intercept form (y = mx + b), follow these steps:

Step 1: Add 6x to both sides of the equation.
y - 6x + 6x = 6x + 5
y = 6x + 5

Therefore, the equation y - 6x = 5 can be rewritten in slope-intercept form as y = 6x + 5.

Answer 6

To write the equation x - y = 6 in slope-intercept form (y = mx + b), follow these steps:

Step 1: Add y to both sides of the equation to isolate y on one side.
x - y + y = 6 + y
x = 6 + y

Step 2: Rearrange the equation to solve for y.
x = 6 + y
y = x - 6

Therefore, the equation x - y = 6 can be rewritten in slope-intercept form as y = x - 6.

Answer 7

To graph the equation y = x - 6, you can use the slope-intercept form of the equation, where the slope is 1 and the y-intercept is -6.

1. Plot the y-intercept at -6 on the y-axis.
2. Use the slope of 1 to find another point. Move up 1 unit and right 1 unit from the y-intercept point, and plot another point.
3. Connect the two points with a straight line.

The graph of the equation y = x - 6 will be a line passing through the points (0, -6) and (1, -5).

I hope this helps! Let me know if you need further assistance.