Answer:
the co - ordinates of x - intercept are: (2, 0)
Explanation:
the given points are:
x1, y1 = -2, -2
x2, y2 = -6, -4
the equation of the line is:
y = mx + b
where, slope, m = y2 - y1 / x2 - x1
= -4 + 2 / -6 + 2 = -2/-4 = 1/2
let's take x1, y1 as x, y co - ordinates to find the value of constant, b:
-2 = 1/2(-2) + b
-2 = -1 + b
b = -2 + 1 = -1
thus, the equation of the line is:
y = 1/2x - 1
let's put y = 0 to find the x - intercept:
0 = 1/2x - 1
1 = 1/2x
x = 2
i.e. the co - ordinates of x - intercept are: (2, 0)