How do I write the equation 9x-6y=-72 in slope-intercept form?
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the equation:
9x - 6y = -72
Write in slope-intercept form.
Solution:
In order to write the given equation in slope-intercept form, we must take note of the equation of slope-intercept form.
y =mx + b
Hence we must solve for y in order to equate the given equation into slope-intercept form.
9x - 6y = -72
Transpose -72 and -6y on the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
6y = 9x + 72
Divide both sides by 6 to cancel out 6y, leaving behind y
6y/6 = (9x + 72)/6
y = 3/2x + 12
Final answer:
y = 3/2x + 12