What is the x-intercept of the line with the equation -2x + 1/2y = 18?
-2x + (1/2)y = 18
(1/2)y = 2x + 18
y/2 = 2x + 18
y = 2(2x + 18)
y = 22x + 2*18
y = 4x + 36
The x intercept is the value of x, when the y value is 0.
0 = 4x + 36
0 - 4x = 36
-4x = 36
x = 36/-4
x = -9
The x intercept is -9
I hope this helps.
Answer:
The x-intercept of the line with the equation is -9.
Step-by-step explanation:
Given : Equation \(-2x+\frac{1}{2}y=18\)
To find : What is the x-intercept of the line with the equation ?
Solution :
To find x-intercept we put y=0.
Equation \(-2x+\frac{1}{2}y=18\) substitute y=0,
\(-2x+\frac{1}{2}(0)=18\)
\(-2x=18\)
\(x=\frac{18}{-2}\)
\(x=-9\)
Therefore, The x-intercept of the line with the equation is -9.