Does the position of the x intercept change? Does the position of the y intercept change? Explain.
Locate the x and y intercepts and compare with the solution above. This will define equation in the example above, part b.
Hence, the y intercept by solving -y = 2, which gives y = -2. The x intercept is found by solving 2x = 2, which gives x = 1.Solution to the Questions in the Above Example The y intercept is found by setting x = 0 in the above equation and solve for x.įind the x and y intercepts of the graph of the equations given below. The x intercept is found by setting y = 0 in the above equation and solve for x. We now explore more general equations of lines with equationsĪx + by = c, where a is not equal to zero and b is not equal to zero. X and y Intercepts of the Graph of a Line Set a = 0, b = 1 and c = -3, you should have a horizontal line y = -3 (example above part d) that passes through all points with y coordinate equal to -3.Set a = 1, b = 0 and c = 0, you should have a vertical line x = 0 (example above part c) which is the y axis.Set a = 0, b = 1 and c = 0, you should have a horizontal line y = 0 (example above part b) which is the x axis.
You should have a vertical x = 2 (example above part a) that passes through all points with x coordinates equal to 2. Use the sliders on the left control panel of the applet and set a = 1, b = 0 andĬ = 2.Click on the button above "click here to start" and maximize the window obtained.Your browser is completely ignoring the tag! y = -3 this is the equation of a horizontal line that passes through all points with y coordinate equal to -3.x = 0 this is the equation of a vertical line that passes through all points with x coordinate equal to 0 (y axis).y = 0 this is the equation of a horizontal line that passes through all points with y coordinate equal to 0 (x axis).x = 2 this is the equation of a vertical line that passes through all points with x coordinate equal to 2.Horizontal lines have equations of the form Y = B, where B is a constant. Vertical lines have equations of the form x = A, where A is a constant. The investigation is carried out by changing the coefficients a, b, and c and analyzing their effects on the properties of the graph. The properties of the graph such as slope and x and y intercepts are also explored. This large screen interactive java applet helps you explore the graph of the general linear equation in two variables that has the formīy changing parameters a, b and c. The properties of the line such as slope and x and y intercepts are also explored.
Explore the graph of the general linear equation in two variables that has the formīy changing parameters a, b and c.
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