How do you graph y+4x=1y+4x=1?

1 Answer
Daniel
May 2, 2018

y+4x=1y+4x=1

y=-4x+1y=−4x+1

enter image source here

y=-4*(-5)+1=21y=−4⋅(−5)+1=21
y=-4*(-2)+1=9y=−4⋅(−2)+1=9
y=-4*(0)+1=1y=−4⋅(0)+1=1
y=-4*(2)+1=-7y=−4⋅(2)+1=−7
y=-4*(5)+1=-19y=−4⋅(5)+1=−19

We can now draw a line through the coordinates,
(-5,21), (-2,9), (0,1), (2,-7), (5,-19)(−5,21),(−2,9),(0,1),(2,−7),(5,−19)

enter image source here

Explanation:

Let everything yy should be equal to on one side. Giving,

y=-4x+1y=−4x+1

From there, make a table for your calculations. One for xx values and the other for what yy gives after replacing the xx values with numbers.

Since xx can be anything, and will go on infinitely. We can make up numbers to what xx can be at certain times. In the table above, I have chosen xx to be -5, -2, 0, 2, 5−5,−2,0,2,5 and seen what happen when I replaced these numbers with xx in y=-4x+1y=−4x+1.

One calculation will for example be,
y=-4*(-5)+1=21y=−4⋅(−5)+1=21
Which basically means that when x=-5x=−5 the yy-axis will be at 2121.

Another is ,
y=-4*(2)+1=-7y=−4⋅(2)+1=−7
Which means that when we choose x=2x=2 we will get a point on the yy-axis being -7−7.

This is something we can see on the graph above too. For example, when x=0x=0 then y=1y=1.

Since this is a straight line, we would basically just need to points to draw our line between and out from. Since this line goes on to the infinite.

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