How do you graph #y=- x +4#?

1 Answer
Mar 1, 2016

see explanation

Explanation:

This is the equation of a line. When the line crosses the x-axis the y-coordinate will be zero. Let y = 0 to find the x-intercept.

y = 0 : 0 = - x +4 → x = 4 → (4,0) is a point on the line.

Similarly , when the line crosses the y-axis , the x-coord will be zero. Let x = 0 to find y-intercept.

x = 0 : y = 0 + 4 = 4 → ( 0,4) is a point on the line.

All that is required to graph a line is 2 points. A third is useful in assisting with alignment. Choose any value for x.

let x = 2 : y = -2 + 4 = 2 → (2,2) is a third point on the line.

Plot the points (4,0) , (0,4) and (2,2) and draw a straight line through them.
here is the graph of y = - x + 4
graph{-x+4 [-10, 10, -5, 5]}