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If the equation y equal ax describes the graph of line if the value of a is positive the line?
If the equation ( y = ax ) describes the graph of a line and the value of ( a ) is positive, the line will have a positive slope. This means that as ( x ) increases, ( y ) will also increase, resulting in an upward-sloping line from the origin. The line will pass through the origin (0,0) and extend into the first and third quadrants of the Cartesian plane.
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
When does the equation yax describes the graph of a lines if the value of a is a negative what is the line?
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.
Why use slopes?
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.)
How can you use a table graph or equationto find a value if the other value?
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.
The equation y equals ax describes the graph of a line If the value of a is positive the line?
goes through the origin, up and to the right
If the equation y equal ax describes the graph of line if the value of a is positive the line?
If the equation ( y = ax ) describes the graph of a line and the value of ( a ) is positive, the line will have a positive slope. This means that as ( x ) increases, ( y ) will also increase, resulting in an upward-sloping line from the origin. The line will pass through the origin (0,0) and extend into the first and third quadrants of the Cartesian plane.
How do you determine if the graph of a quadratic function has a min or max from its equation?
If x2 is negative it will have a maximum value If x2 is positive it will have a minimum value
When does the equation yax describes the graph of a lines if the value of a is a negative what is the line?
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.
Does The equation y ax describes the graph of a line If the value of a is negative the line?
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.
What do you call a V-shape on a graph?
That is a result of an absolute value equation. So an Absolute Value Graph
Why use slopes?
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.)
How can you use a table graph or equationto find a value if the other value?
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.
How do you find a positive solution in a exponential graph?
To find a positive solution in an exponential graph, first identify the equation of the exponential function, typically in the form (y = a \cdot b^x), where (a) and (b) are constants. Next, determine the x-value(s) for which the output (y) is positive by solving the equation (y > 0). Since exponential functions approach zero but never become negative, any x-value will yield a positive solution when (a > 0) and (b > 0). Finally, you can visually analyze the graph to confirm areas where the curve remains above the x-axis.
What relationship does a linear graph shows?
A linear graph shows a linear equation in which the value of one variable depends on the value of the other variable.
What is the corner point of the graph of an absolute value equation called?
vertex
How do you find an absolute value equation from a graph?
To find an absolute value equation from a graph, first identify the vertex of the graph, which represents the point where the absolute value function changes direction. Then, determine the slope of the lines on either side of the vertex to find the coefficients. The general form of the absolute value equation is ( y = a |x - h| + k ), where ((h, k)) is the vertex and (a) indicates the steepness and direction of the graph. Finally, use additional points on the graph to solve for (a) if needed.
