SOLUTION: Determine whether the given point is a solution of the equation. (-1,4) 2x+y=2

Algebra ->  Coordinate-system -> SOLUTION: Determine whether the given point is a solution of the equation. (-1,4) 2x+y=2      Log On


   

Question 186544: Determine whether the given point is a solution of the equation.
(-1,4)
2x+y=2
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

A Line Eqn---->2x%2By=2
Following Slope-Intercept Form,y=mx%2Bb, and check the line thru (-1,4):
Transforming given eqn to Slope-Intercept Form:
y=-2x%2B2
Let Fy=0
0=-2x%2B2---->2x=2---->cross%282%29x%2Fcross%282%29=cross%282%291%2Fcross%282%291
x=1
Let Fx=0
y=-2%280%29%2B2=2
Next, substitute (-1,4) to the Line Eqn:
2%28highlight%28-1%29%29%2Bhighlight%284%29=2
-2%2B4=2
2=2--->It satisfies the Line Eqn.
We'll see in the graph the intercepts:
-->Shows the line passing thru point (-1,4), and is a SOLUTION.

Thank you,
Jojo