Write the equation 2x - 3y = 6 in slope-intercept form. y = x + 3 y = x + 3 y = x - 2
Mathematics · High School · Wed Jan 13 2021
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Given the equation:
2x - 3y = 6
Write in slope-intercept form.
Slope-intercept form:
y = mx + b
Solution:
In order to write the equation in slope-intercept form, we simply needed to solve for y. To do so, the first step is to transpose -3y and 6 to the opposite sides of the equation, hence it must be taken to note that in transposing a number, the sign changes.
2x - 3y = 6
3y = 2x - 6
Divide both sides by 3 in order to determine the value of y.
3y/3 = (2x - 6)/3
y = ⅔x - 2
Final answer:
y = ⅔x - 2