Question

If the x intercept of the line y=mx+2 is greater than 1/2 then the gradient of the line lies in the interval
A)(-1,0)
B)(-1/4,0)
C)(-infinity,-4)
D)(-4,0)

Answer 1

Answer:

Option C is correct

Step-by-step explanation:

We are given an equation

y = mx + 2 ....(1)

where m is gradient of line

We can find x  intercept of the equation (1) as follows

For x intercept put y =0 into above equation

0 = mx + 2

mx = -2

$x=\frac{-2}{m}$

So, our x intercept is $x=\frac{-2}{m}$

given that

x >$\frac{1}{2}$

so

$\frac{-2}{m}$>$\frac{1}{2}$

Rearranging

$-2\times2$>$m$

$-4$>$m$

or we can write it as

$m$<$-4$

This can be simply written as ( -∞  -4)

Answer 2

hi! the correct answer is (-4,0)