Respuesta :
Well to find this line you want to know the slope and the y-intercept. So find the slope:
(y2-y1)/(x2-x1)
12-2 = 10
2-7 = -5
10/-5 = 2/-1
-2 is your slope
Now for y-intercept, find the point closest to the y-axis. That is the point (2,12), and if your slope is negative 2, that means that if you go up 4 and left 2, you should find the y-intercept:
12 + 4 = 16
16 is your y-intercept
So now lets write this out in an equation:
y = mx + b
m = slope
b = y-intercept
y = -2x + 16
there you go! hope this helps!
To find the slope of this line we must use the formula m=y2-y1/x2-x1 to write an equation with the 2 points.
12-2/2-7=10/-5
Now we simplify the slope since this is not the simplest form the fraction can get.
10/-5
2/-1
m=-2
From here we can substitute our available info to another form called point-slope form.
The formula for point-slope is y-y1=m(x-x1)
m= slope
y1 and x1= x value and y value of one point.
We are going to use the point 7,2 for this equation
y-2=-2(x-7) This is our final equation.
Hope this helps!