Question

Write 9x-3y=-69 x − 3 y = − 6 in slope-intercept form. Make sure you show all steps and inverse operations.Write 9x-3y=-69 x − 3 y = − 6 in slope-intercept form. Make sure you show all steps and inverse operations.

Answer 1

Answer:

y = 3x + 23 and

$y = \frac{1}{3}x + 2$

Step-by-step explanation:

The first equation is 9x - 3y = - 69 and we have to write it in slope-intercept form.

Now, 9x - 3y = - 69

⇒ 3x - y = - 23 {Dividing both sides by 3}

⇒ 3x + 23 = y

⇒ y = 3x + 23 {Interchanging the sides} (Answer)

The second equation is x - 3y = - 6 and we have to write it in slope-intercept form.

Now, x - 3y = - 6

⇒ x + 6 = 3y

⇒ 3y = x + 6 {Interchanging the sides}

⇒ $y = \frac{1}{3}(x + 6)$ {Dividing both sides by 3}

⇒ $y = \frac{1}{3}x + 2$ (Answer)