Respuesta :
Hi there!
I'm guessing you want to know what the equation of the slope-intercept line is.
The general equation for the slope-intercept line looks like this:
y = mx + b
Where "m" is the slope and "b" is the y-intercept.
Since we know what the slope is and we have the coordinates of a point, you can replace the slope and the value of the coordinates "x" & "y" in the equation and solve for "b" in order to find the whole equation :
y = mx + b
-1 = -1/2(10) + b
subtract "b" from each side of the equation
-1 - b = -1/2(10)
Add 1 to each side of the equation
-b = -1/2(10) + 1
-b = -5 + 1
-b = -4
Divide each side of the equation by -1
b = 4
Since you now know the value of "b" you can go ahead and write the slope-intercept equation with the slope in it and the y-intercept value also (b) :
y = -1/2 + 4
There you go! I really hope this helped, if there's anything just let me know! :)