It is sometimes the point where the value inside the absolute function is zero.
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.
It looks like this came from some multiple choice question, where you're given several choices. Take each choice and substitute the x and y coordinates into the equation. So for example the point is (0,3), then substitute in and get 2*0 + 3 which equals 3 and satisfies the equation, so the point is on the graph. If the point is (1,1) then 2*1 + 1 = 3 which satisfies the equation, so that point is also on the line. You want to find one where the left side does not equal 3, then that point is not on the graph of the line.
-3
It will have two equal roots.
vertex
The origin.
The coordinates of every point on the graph, and no other points, are solutions of the equation.
MATH 1003?
35
Substitute the point into the equation, eg. if you have point (1,2) and equation y=3x+7 you get 2=3*1+7 =10 2 doesnt equal 10, so (1,2) isn't on the graph y=3x+7
Count the number of many times the graph intersects the x-axis. Each crossing point is a root of the equation.
A line is represented by an equation. Each solution of the equation is a point on the line, and each point on the line is a solution to the equation. So the line is just the graph of the solution set of the equation.
The y-intercept of a linear equation is the point where the graph of the line represented by that equation crosses the y-axis.
For the equation (9x^2)/(x^2+4)
The "form" only refers to how the equation of the line is written. It has no effect on what the line looks like when the equation is graphed. To graph a linear equation, no matter what form it's written in: -- Pick a number for 'x'. Use the equation to calculate 'y'. Graph the point. -- Pick another 'x'. Use the equation to calculate the new 'y'. Graph the point. -- Draw a straight line between the two points, and as much farther as you want to in either or both directions.
Oh, dude, each individual point on a graph is called a "vertex." It's like the cool kid at the party who stands out from the crowd, you know? So yeah, next time you see a point on a graph, just give it a little nod and say, "Hey there, vertex, doing your thing."