How do you graph y=12 using intercepts?

1 Answer
Sep 3, 2016

see explanation.

Explanation:

It helps if we can recognise that lines of the form y=c and x = c where c is a constant, are special cases of the equation of a straight line.

y = c is a straight line, parallel to the x-axis passing through all points in the plane with the same y-coordinate.

y=12 therefore passes through all points whose y- coordinate is 12 This includes the point on the y-axis, the y-intercept whose coordinates are (0,12)

Plotting 3/4 points and drawing a straight line through them gives the graph of y=12

For example plot the following set of points.

(2,12),(0,12),(2,12) and (4,12)
graph{y-0.001x+1/2=0 [-10, 10, -5, 5]}

I mentioned x = c , which is a line parallel to the y-axis, passing through all points in the plane with the same value of x-coordinate.