How do you graph 4x=-y+2 by plotting points?

Question

How do you graph 4x=-y+2  by plotting points?

Hazel Anglin · Accepted Answer

Refer explanation section

Given -
4x = -y +2

Solve it for -y

-y = -4x +2
y = 4x - 2

We need minimum two points to fix the straight line

At x = 0; y = 4(0) - 2 = -2
(0, -2) is one point

At y = 0; 4x - 2 = 0
4x = 2
x = #2/4 = 1/2#
(#1/2#, 0) is another point.

x co-ordinate of the second point is a fraction. You can avoid this by suitably taking another value for y, instead of zero.

You shall take 2 as the y- co-ordinate.
At y = 2
4x - 2 = 2
4x = 2 + 2
x = #4/4#= 1
(1, 2 ) shall be your second point

The two points you are going to plot are -

(0, -2) ; (1, 2)

Plot them and join them with the help o a straight line. graph{4x - 2 [-8.89, 8.89, -4.444, 4.445]}

Watch the video also....

Julia Adams · Answer

undefined To graph the equation 4x = -y + 2 by plotting points, we can rearrange the equation to solve for y in terms of x.

4x = -y + 2
4x - 2 = -y
-4x + 2 = y

Now, we can create a table of values for x and find corresponding values for y using the equation y = -4x + 2.

When x = 0, y = 2
When x = 1, y = -2
When x = 2, y = -6

Plotting these points on a graph and connecting them with a straight line will give us the graph of the equation 4x = -y + 2.