The zeros of a polynomial represent the points at which the graph crosses (or touches) the x-axis.
Easy. Same thing as the graph of f(x) = x^2 + 1 which have NO intercept.
y=x-2
The x goes first. If you have trouble remembering which way round it is, remember "the monkey runs along the ground (x) then up the tree (y)". So (2,5) means "two along and five up" or "x:2, y:5".
y = 0.5x + 1 x = -2, y = 0 x = -1, y = 0.5 x = 0, y = 1 x = 1, y = 1.5 x = 2, y = 2 Plot the points in the coordinate system, and draw the line, which is the line of the given equation.
In two dimensions, the infinitely many points with coordinates of the form (x, x-2) where x is any number.
x=y+2 y=x-2 The y value at the x axis (x=0) will be -2, so graph (0, -2). Let's calculate a few more points by varying x and calculating y: if x=2, y=2-2=0 (2, 0) similarly: (1, -1) (5, 3) Graph those points, then draw a line connecting them all. That's the graph of x=y+2.
Whether the graph has 0, 1 or 2 points at which it crosses (touches) the x-axis.
two at x = -2 and x = -1
2
A pair of two points (2D) or 3 points (3D) written as (x,y) or (x,y,z).
A linear graph contains both an x and y axis.
if the linear equation is x+y=1 means we are having the graph points (1,0) (2,-1)....using this graph we can draw the graph
It is a line. There are many ways to graph it using intercepts etc. But, you can pick some x points, plug them in your equation, and find the corresponding y point, The graph those (x,y) values
If: x-y = -2 then the x intercept is -2 and the y intercept is 2 So the points are: (-2, 0) and (0, 2)
hard to do this here since I can't graph it, but here is what you do graph the two points (-2,3) and (2,0) and then connect the points with a line to graph the line. Now look at where the line intersects the x axis. we could check it by finding the slope 3-0/-2-2=-3/4 now plug this in y=-3/4(x-2) or y=-3/4x+6/4 so y intercept is 3/2 and x intercept is 0=-3/4x+3/2 or -3/2=-3/4x so x=2 and the x intercept is 2 or the point (2,0) BUT THE POINT (2,0) told us this before we did any work, sine (2,0) is on the line and it is the point where y=0 and x=2.. THIS IS THE X intercept! Doctor Chuck
y = x!