what is the x-intercept of a line that has the following equation 2y=3x-6
Mathematics · Middle School · Thu Feb 04 2021
Answered on
Given the equation of the line:
2y = 3x - 6
Determine the x-intercept.
Solution:
In order to determine the x-intercept, we simply need to equate y to 0, then solve for x.
2y = 3x - 6
2(0) = 3x - 6
0 = 3x - 6
Transpose -6 to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.
3x = 6
Divide both sides by 3 in order to determine the value of x.
3x/3 = 6/3
x = 2
Final answer:
x = 2