Question

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

Answer 1

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

Answer:

y = 3x + 2 is the slope-intercept form of given equation 9x - 3y = -6

Solution:

Given that we have to write 9x - 3y = -6 in slope intercept form

The slope intercept form is given as:

y = mx + c

Where "m" is the slope of the line and "c" is the y - intercept

Let us convert the given equation into slope intercept form

9x - 3y = -6

Keep the variable "y" on one side and move the remaining terms to other side

9x + 6 = 3y

3y = 9x + 6

Move the coefficient of "y" from L.H.S to R.H.S

$y = \frac{1}{3}(9x + 6)$

Distribute $\frac{1}{3}$ to terms inside bracket

$y = \frac{1}{3} \times 9x + \frac{1}{3} \times 6$

Simplify the above equation

$y = 3x + 2$

Thus the slope intercept form is found