Solve the equation graphically 2x+y=6. 2x-y=2

x=2 and y = 2

Step-by-step explanation:

Im going to use GeoGebra for graphing the 2 lines. I always find it helpful to move y to side of the equation and the rest of the equation to another side. This is the slope intercept equation by the way. We get our equations as y = -2x+6 and y= 2x-2.

You can find that the common point is (2,2) between the lines.

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)

f(x)=2/3x-8, which give g(x) the greatest value.

step-by-step explanation: