Question

Please help solve: Graph y-4=2(x-2)

Answer 1

Answer:

Graph y = 2x

Step-by-step explanation:

First, let's get the equation into standard form. Distribute the 2 on the right.

$y-4=2x-4$

Next, we want the variable "y" to be alone, so we at 4 to both sides.

$y-4+(4)=2x-4+(4)\\\\y=2x$

That is our equation in standard y = mx + b form. "m" is our slope, while "b" is our y-intercept. Above , we don't have a value for b, therefore the line passes through the origin.

We do, however, have a slope, which can be thought of as $\frac{rise}{run}$ or rise over run. To represent this, we can rewrite our slope as:

$y=\frac{2}{1}x$

Meaning in each interval, the line goes up by 2 units, and moves forward by 1.