How do you graph #y=-1/3x+4#?
1 Answer
Jan 27, 2016
see explanation.
Explanation:
To draw a straight line requires 2 points , although 3 is better.
Aligning 3 points is more accurate than just having 2.
Find where the line crosses the axes :
When it crosses the y-axis , the x-coordinate will be zero.
By letting x = 0 and substituting into equation will give value of y.
x = 0 : y = 4 → point ( 0 , 4 )
Similarly for crossing the x-axis , let y = 0.
y = 0 : hence
# -1/3 x + 4 = 0# so x = 12 → ( 12 , 0 ) is a 2nd point.
For 3rd point choose any value for x and find y.
let x = 3 : y = - 1 + 4 = 3 → ( 3 , 3 ) is a 3rd point.
Now draw a straight line through the 3 points.
Here is an illustrative graph of the line.
graph{-1/3x+4 [-20, 20, -10, 10]}
