Question

Write each equation in slope-intercept form by following the steps below.

Answer 1

Given:

The equation is

$y=2+4(x-3)$

To find:

The slope intercept form of the given equation.

Solution:

We have,

$y=2+4(x-3)$

Step a: Distribute 4 through the parentheses.

$y=2+4(x)+4(-3)$

$y=2+4x-12$

Step b: Simplify by combining like terms.

$y=4x+(2-12)$

$y=4x-10$

Step c: Is the equation in the form $y = mx + b$? If not, rewrite it.

The equation $y=4x-10$ in the form of $y = mx + b$.

Therefore, the slope intercept form of the given equation is $y=4x-10$.