Question

What line would be parallel to 8x-2y=7 with a point of 12,1​

Answer 1

`y = 4x - 47`

Explanation:

Equation of a line:

The equation of a line has the following format:

`y = mx + b`

In which m is the slope and b is the y-intercept.

Parallel lines:

When two lines are parallel, they have the same slope.

8x-2y=7

Placing into the format, we have thtt:

`2y = 8x - 7`

`y = 4x - (7)/(2)`

Slope of 4.

This means that the desired line has the following equation:

`y = 4x + b`

Point of (12,1)

This means that when
`x = 12, y = 1`

We use this to find b.

`y = 4x + b`

`1 = 48 + b`

`b = -47`

So, the line has the equation:

`y = 4x - 47`