Goes from the origin to the North East (up and to the right).
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
When the equation (y = ax) describes the graph of a line and (a) is negative, the line has a negative slope. This means that as the value of (x) increases, the value of (y) decreases, resulting in a downward slant from left to right. The line will intersect the origin (0,0) and will extend infinitely in both directions.
The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
To find a value using a table, graph, or equation, you can identify the relationship between the variables involved. In a table, locate the known value and read across to find the corresponding value. For a graph, you can plot the known value on the appropriate axis and see where it intersects with the graph line to determine the other value. In an equation, substitute the known value into the equation and solve for the unknown variable.
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
goes through the origin, up and to the right
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
When the equation (y = ax) describes the graph of a line and (a) is negative, the line has a negative slope. This means that as the value of (x) increases, the value of (y) decreases, resulting in a downward slant from left to right. The line will intersect the origin (0,0) and will extend infinitely in both directions.
y=ax is a line that goes through the origin. If a is negative the left side is up. If it is zero it is level. If it is positive the right side is up.
That is a result of an absolute value equation. So an Absolute Value Graph
The slope of a graph provides general information about a graph. It tells you how much the y value of the graph increases (or decreases, if the slope is negative) for a given increase in x value. if you look at the general equation of a graph y = a x + b the value "a" represents the slope and the "b" value represents the value of y when x = 0. When the graph is not a straight line, the discussion gets more complicated, however the slope still describes changes in the value of the graph (you have to use calculus for this situation.)
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
vertex
To graph the equation (y = 8), draw a horizontal line across the y-axis at the point where (y = 8). This line will extend infinitely in both the positive and negative x-directions. The graph represents all points where the value of (y) remains constant at 8, regardless of the value of (x). Make sure to label the line appropriately on your graph.
If the value of ( a ) is negative in the equation ( yax ), the line will have a negative slope. This means that as the value of ( x ) increases, the value of ( y ) will decrease, resulting in a downward slant from left to right. The line will intersect the y-axis at the point where ( x = 0 ), and its steepness will depend on the magnitude of ( a ).
slope
Select any value for one of the variables in the graph and solve the equation to get the other variable.