Answer:
x-intercept = (4,0)
Step-by-step explanation:
Slope = 1/2
y-intercept = -2
x-intercept =?
Step 1 ; Use the given information to derive the equation of the line.
Substitute values into ; y=mx+b
Where m = slope
b = y-intercept
Equation = [tex]y =\frac{1}{2} x -2[/tex]
Step 2 ; Calculate the x-intercept
Arrange the equation in standard form ; Ax +By = C
[tex]-\frac{1}{2} x +y = -2[/tex]
Let y = 0
[tex]-\frac{1}{2}x+0=-2\\ \\-\frac{1}{2}x = -2[/tex]
Cross Multiply
[tex]-x\times 1 =-2\times 2\\\\-x = -4\\\\x =4\\\\(4,0)[/tex]
So ; (4,-2)
