A line passes through the points (–3, –4) and (6, 2).
What is the x-intercept of this line?
Can someone please help I'm so confused

x-intercept is 3

Step-by-step explanation:

You have 2 points on this line.

Therefore you should be able to find the linear equation for this line

Notice  you can find slope as  :   m = (-4 - 2) / (-3 - 6) = -6 / -9 = 2/3

use the point (6, 2) in the slope-intercept equation  y = mx + b ...

I am sure you learned this equation.

we have m = 2/3

so    y = (2/3)*x + b   so far.

let us find the b constant

2 =  (2/3)*6  + b

2 =  2*2  + b

2 = 4 + b

b = 2 - 4 = - 2

so our equation is   y =  (2/3) x - 2

the   x-intercept is found when   y= 0

so     0 =  (2/3) x - 2

2 =  (2/3) x

x = 3

x-intercept is 3      Thank the Great MysticChaCha

The second picture

Step-by-step explanation:

It shows that the data is accurately displayed on the chart