Question

Find the slope and y-intercept for the graph of the equation
6x - 4y = -36

Answer 1

Answer:

$y = \dfrac{3}{2} x + 9$

Step-by-step explanation:

We would like to write the given equation in slope intercept form of the line .

$\longrightarrow 6x - 4y = -36$

The slope intercept form of the line is $y = mx + c$ , where

• $m$ is the slope
• $(x,y)$ is a point on the line .
• $c$ is the y intercept .

we can rewrite the given equation as ,

$\longrightarrow 6x - 4y = -36$

$\longrightarrow -4y = -36 -6x$

$\longrightarrow -4y = -6( x + 6)$

$\longrightarrow y =\dfrac{-6}{-4}(x + 6)$

$\longrightarrow y = \dfrac{3}{2}(x+6)$

$\longrightarrow y = \dfrac{3}{2}x +\dfrac{3}{2}\times 6$

$\longrightarrow \underline{\underline{\pmb{ y =\dfrac{3}{2}x +9}}}{}$

This is the required equation of line in slope intercept form , with ;

• $m = \dfrac{ 3}{2}$
• $c = 9$

Answer 2

Answer:

Refer to the attachment