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What is 2x - 3y = 43 in slope intercept form

Sagot :

Answer:

The answer is y=(2)/(3)x-43/3

Step-by-step explanation:

charlief22

Answer:

[tex]y = \frac{2}{3}x - \frac{43}{3}\[/tex]

Step-by-step explanation:

As slope intercept form is y = mx + c:

Step 1 - Add 3y to both sides of the equation:

[tex]2x - 3y = 43\\2x - 3y + 3y = 43 + 3y\\2x = 43 + 3y[/tex]

Step 2 - Subtract 43 from both sides of the equation:

[tex]2x = 43 + 3y\\43 + 3y = 2x\\43 + 3y - 43 = 2x - 43\\3y = 2x - 43\\[/tex]

Step 3 - Divide both sides of the equation by 3:

[tex]\frac{3y}{3} = \frac{2x}{3} - \frac{43}{3}\\y = \frac{2}{3}x - \frac{43}{3}\\[/tex]

Meaning the slope intercept form is:

[tex]y = \frac{2}{3}x - \frac{43}{3}\[/tex]

Hope this helps!

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