Question

Examine the linear equation. 4x − 9y = 36 Select the appropriate steps to write an equivalent equation in slope-intercept form. Step 1: Add 9y to both sides. Step 2: Divide both sides by 4.

Answer 1

Answer:

The linear equation $4x - 9y = 36$ in the slope-intercept form of the linear/line equation is:

$y=\frac{4}{9}x-4$

Step-by-step explanation:

The slope-intercept form of the linear/line equation

$y = mx+b$

where

• $m$ is the slope

• $b$ is the y-intercept

The given equation is

$4x - 9y = 36$

Let us convert the equation in the slope-intercept form of the linear/line equation

$4x - 9y = 36$

Add -4x to both sides

$4x - 9y+(-4x)=36+(-4x)$

$4x-9y-4x = 36-4x$

simplify

$-9y=-4x+36$

Divide both sides by -9

$\frac{-9y}{-9}=\frac{-4x+36}{-9}$

simplify

$y=\frac{4}{9}x-4$

Therefore, the linear equation $4x - 9y = 36$ in the slope-intercept form of the linear/line equation is:

$y=\frac{4}{9}x-4$

Further Examining the equation:

As we have already converted the given equation in the slope-intercept form such as

$y=\frac{4}{9}x-4$

We can further examine the equation by comparing it with the  slope-intercept form of the linear/line equation such as

$y = mx+b$

Thus, by comparing with the slope-intercept form of the linear/line equation,

• The slope of the equation is:   $m=\frac{4}{9}$

• The y-intercept b of the equation is:  $b = -4$

The graph of the equation is also attached below for further understanding.

Answer 2

Answer:

Step 1:  

✔ Subtract 4x from both sides.  

Step 2:  

✔ Divide both sides by –9.

Step-by-step explanation:

got it right on my assignment :))