Question

A line has a slope of 1/2 and a y intercept of -2

what is the the x intercept of the line?​

Answer 1

x-intercept = (4,0)

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 =
`y =(1)/(2) x -2`

Step 2 ; Calculate the x-intercept

Arrange the equation in standard form ; Ax +By = C

`-(1)/(2) x +y = -2`

Let y = 0

`-(1)/(2)x+0=-2\\ \\-(1)/(2)x = -2`

Cross Multiply

`-x* 1 =-2* 2\\\\-x = -4\\\\x =4\\\\(4,0)`

So ; (4,-2)