Question

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

Answer 1

Answer:

$y = 4x - 47$

Step-by-step 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:

$2y = 8x - 7$

$y = 4x - \frac{7}{2}$

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:

$y = 4x - 47$