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The graph of the line with the equation Begin equation y23x-7 crosses the y-axis at which of the following values of y?
At -7.
How do you find the zeros in an equation by looking on a graph?
They are all the points where the graph crosses (or touches) the x-axis.
What is the y-intercept of a linear 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.
How can you tell by looking at a graph whee the solutions are in a quadratic equation?
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
How can you use a graph to find zeros of a quadratic function?
The zeros of a quadratic function, if they exist, are the values of the variable at which the graph crosses the horizontal axis.
The graph of the line with the equation Begin equation y23x-7 crosses the y-axis at which of the following values of y?
At -7.
How do you graph an equation in the table of values?
Which of the following is a disadvantage to using equations?
What are the values at which the graph of a polynomial crosses the x-axis?
The graph of a polynomial in X crosses the X-axis at x-intercepts known as the roots of the polynomial, the values of x that solve the equation.(polynomial in X) = 0 or otherwise y=0
What is the graph of an equation?
The graph of an equation is a visual representation of the values that satisfy the equation.
How do you find the zeros in an equation by looking on a graph?
They are all the points where the graph crosses (or touches) the x-axis.
The values at which the graph of a polynomial crosses the x-axis are called roots and are the values for which the y-value is?
zero
How are the real solutions of a quadratic equation related to the graph of the quadratic function?
The real solutions are the points at which the graph of the function crosses the x-axis. If the graph never crosses the x-axis, then the solutions are imaginary.
Where do you find the roots when looking at a parabola?
-- The roots of a quadratic equation are the values of 'x' that make y=0 . -- When you graph a quadratic equation, the graph is a parabola. -- The points on the parabola where y=0 are the points where it crosses the x-axis. -- If it doesn't cross the x-axis, then the roots are complex or pure imaginary, and you can't see them on a graph.
What is the y-intercept of a linear 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.
What is Roots of equation?
The roots of an equation of the form y = f(x), are those values of x for which y = 0. If plotted on the coordinate plane, these are the points where the graph of y against x crosses (or touches) the x axis.
Which of the following points does NOT lie on the graph of the following equation 5x plus 6y equals -3?
Since no points were given, for any point (x,y), plug the x and y values of the point into the equation. If you get a contradiction, ie 5=3 or something similar, then the point does not lie on the graph.
How can you tell by looking at a graph whee the solutions are in a quadratic equation?
Let's say you have the quadratic equation x2 - 7x + 12 = 0. Plot the graph of y = x2 - 7x + 12. Where y = 0 (when the graph crosses the x-axis) is a solution to the equation. In this case, it crosses at the points (3,0) & (4,0) so the solutions are x = 3 and x = 4. Now if the graph never touches the x-axis, that means the solutions to the equation are complex numbers.
