SOLUTION: Write equation of line passing through each given pairs of points. Write in slope intercept form: (-1,3) and (4,-2) (2,-3) and (2, 4)

Algebra ->  Linear-equations -> SOLUTION: Write equation of line passing through each given pairs of points. Write in slope intercept form: (-1,3) and (4,-2) (2,-3) and (2, 4)      Log On


   

Question 75240: Write equation of line passing through each given pairs of points. Write in slope intercept form:
(-1,3) and (4,-2)

(2,-3) and (2, 4)
Answer by tutorcecilia(2152) About Me  (Show Source):
You can put this solution on YOUR website!
Find the slope of each pair:
Slope=m=%28y1-y2%29%2F%28x1-x2%29%29
Plug-in the values:
Slope=m=%28%283-%28-2%29%29%2F%28-1-4%29%29=%285%2F-5%29=-1
.
Use the slope-intercept formula: y=mx+b and solve for the "b" value
3=(-1)(-1)+b
3=1+b
2=b
Plug-in the values for the slope and the y-intercept (b)
y=-1x+2 [the slope-intercept equation of a line]
.
Check by plugging one set of points back into the equation:
y=-x+2
-2=(-1)(4)+2
-2=-4+2
-2=-2 [checks out]