Solve the x-intercept and y-intercept for 5y=2x-10
Mathematics · Middle School · Mon Jan 18 2021
Answered on
Given the numerical equation:
5y = 2x - 10
Determine the x-intercept and the y-intercept.
Solution:
In order to determine the x-intercept we simply need to equate y to 0, then solve for x.
x-intercept:
5(0) = 2x - 10
= 2x - 10
Transpose -10 on the other side of the equation, hence it must be taken to note that in transposing number, the sign changes.
2x = 10
Divide both sides by 2 in order to determine the value of x.
2x/2 = 10/2
x-intercept = 5
In order to determine the y-intercept, we equate x to 0, then solve for y.
5y = 2(0) - 10
5y =-10
Divide both sides by 5 in order to determine the value of 5.
5y/5 = -10/5
y-intercept = -2
Final answer:
x-intercept = 5
y-intercept = -2