Question

Angelo cuts a piece of wood for a project. The first cut is shown and can be represented by the equation y - 5x-1. The second cut needs to be parallel to the first. It will pass through the point (0,6). Identify the equation that

represents Angelo's second cut.

Answer 1

The correct option is A

A) y = (1/5)x + 6

Explanation:

The equation of the first cut shown in the graph is:

y = (1/5)x - 1

We know that a general form of linear equation is given as:

y = mx + c

Comparing both equations, we get that the slope m = 1/5

As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5

Substitute it in the general linear equation

y = mx + c

y = (1/5)x + c

We know that this equation passes through the point (0,6), substitute it in the above equation>

6 = (1/5)(0) + c

c = 6

The equation for second cut be found by using m = 1/5 and c = 6

y = mx + c

y = (1/5)x + 6