Question

Through: (3,0), parallel to y = 2/3x+1

Answer 1

Answer:

y = 2/3x - 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = 2/3x + 1. Its slope is 2/3. A line parallel to this one will also have a slope of 2/3.

Plug this value (2/3) into your standard point-slope equation of y = mx + b.

y = 2/3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (3, 0). Plug in the x and y values into the x and y of the standard equation.

0 = 2/3(3) + b

To find b, multiply the slope and the input of x (3)

0 = 2 + b

Now, subtract 2 from both sides to isolate b.

-2 = b

Plug this into your standard equation.

y = 2/3x - 2

This equation is parallel to your given equation (y = 2/3x + 1) and contains point (3, 0)

Hope this helps!