Respuesta :
Option A is the correct answer, y = x + 2
y - 3 = x-1
If you bring the 3 to the R.H.S, it becomes y = x + 2
If you substitute the values,
3 = 1 + 2
3 = 3
Thus, e equation is correct
The slope-intercept form of the equation for this line is y = 1/2 x + 5/2
First, we need to get the slope of the equation passing through the coordinate (-9, -2) and (1, 3)
m = 3+2/1+9
m = 5/10
m = 1/2
The equation in point slope form is given as y - 3 = 1/2(x - 1)
2(y - 3) = x - 1
Write in slope intercept form
2(y - 3) = x - 1
2y - 6 = x - 1
2y = x + 5
y = 1/2 x + 5/2
Hence the slope-intercept form of the equation for this line is y = 1/2 x + 5/2
Learn more on equation of a line here: https://brainly.com/question/18831322