How do you graph y=4x+3y=4x+3 using a table?
1 Answer
Well, think of it this way: you plug in something for
This equation is linear:
where
mm is the slope (change in y over change in x) andbb is the y-intercept (where it hits theyy axis).
Your equation just has
So, let's make a quick table. You need at least two points to make a straight line, and three points to make a curve. Let's do five points though for practice.
x = -2 -> y = 4(-2) + 3 = -5x=−2→y=4(−2)+3=−5
x = -1 -> y = 4(-1) + 3 = -1x=−1→y=4(−1)+3=−1
x = 0 -> y = 4(0) + 3 = 3x=0→y=4(0)+3=3
x = 1 -> y = 4(1) + 3 = 7x=1→y=4(1)+3=7
x = 2 -> y = 4(2) + 3 = 11x=2→y=4(2)+3=11
In a table it then looks like this:
color(white)([(color(black)(ul(y)),color(black)(ul("|")),color(black)(ul(x))),(color(black)(-5),color(black)(|),color(black)(-2)),(color(black)(-1),color(black)(|),color(black)(-1)),(color(black)(3),color(black)(|),color(black)(0)),(color(black)(7),color(black)(|),color(black)(1)),(color(black)(11),color(black)(|),color(black)(2))])
And after plotting each point by looking at
graph{4x + 3 [-2, 2, -5, 11]}
If you look on this graph, you should be able to find every point we had on the table.