# Write an equation of a line in slope intercept form using the graph below

Y and x stand for the coordinates of any points on the line. Remember that slope is the change in y or rise over the change in x or run. General Equation of a Line: The properties of the line such as slope and x and y intercepts are also explored. 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. Interactive Tutorial Using Java Applet Click on the button above "click here to start" and maximize the window obtained.

Example Find the x and y intercepts of the graph of the equations given below.

 Coordinate System and Graphing Lines including Inequalities – She Loves Math Slope-intercept form linear equations Video transcript So you may or may not already know that any linear equation can be written in the form y is equal to mx plus b. Writing slope-intercept equations Print this page In Grade 7, instructional time should focus on four critical areas: Students extend their understanding of ratios and develop understanding of proportionality to solve single- and multi-step problems.

The x intercept is at 10. The y intercept is at 0 The x intercept is at 00. The y intercept is at 00. This will define equation in the example above, part a. Locate the x and y intercepts and compare with the solution above. This will define equation in the example above, part b. Does the position of the x intercept change? Does the position of the y intercept change? Set a, b and c to some values. Drag the red markers so that they are on the line, read their coordinates and find the slope of the line.

More pages related to this topic can be found in this site.Graphing a linear equation written in slope-intercept form, y= mx+b is easy! Remember the structure of y=mx+b and that graphing it will always give you a straight line. When you look at the line going from left to right, it appears as if you are going up a hill.

Another way to describe what is happening is to say that as the x-values increase the y-values also increase. Whenever both the x and y variable change in the same direction, the slope of the line will be positive. The graph below has a negative slope. When you look at the line going from left to right, it appears as if you are going up a hill.

Another way to describe what is happening is to say that as the x-values increase the y-values also increase. Whenever both the x and y variable change in the same direction, the slope of the line will be positive. The graph below has a negative slope.

Before intersection, value of y1 is less than y2 at given value of x After intersection, value of y1 is less than y2 at next level of x value (xi+1) Download the excel file I consider two equations: y1=2x+5 and y2=x^2+1.

On the basis of these equations i created data for three variables that are x.