Question

A line has a slope of 1/2 and a y intercept of -2what is the the x intercept of the line?​

Answer 1

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 = $y =\frac{1}{2} x -2$

Step 2 ; Calculate the x-intercept

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

$-\frac{1}{2} x +y = -2$

Let y = 0

$-\frac{1}{2}x+0=-2\\ \\-\frac{1}{2}x = -2$

Cross Multiply

$-x\times 1 =-2\times 2\\\\-x = -4\\\\x =4\\\\(4,0)$

So ; (4,-2)