Question

The profit y (in dollars) for a business from selling x coats is represented by y=56x . Graph the equation.

Answer 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.

Explanation:

The slope-intercept form of the line equation

`y = mx+b`

where

• m is the slope

• b is the y-intercept

Given that the profit y (in dollars) for a business from selling x coats is represented by the equation

`y=56x`

comparing with the slope-intercept form of the line equation

m = 56

Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.

substitute x = 0 in the equation

y = 56(0)

y = 0

Thus, the y-intercept b = 1

Thus,

The equation y = 5x has:

• The slope m = 56

• The y-intercept b = 1

The graph of the equation is also attached.

From the graph, it is clear that at x = 0, the value of y = 0

Hence, the line passes through the origin with the y-intercept 0.