Example: Graph 3x − 5y = 15 using the x- and y-intercepts.
Plot the points and draw a line through them with a straight edge.
Instructional Video: Graphing by Finding Intercepts
This is a nice and easy method for determining the two points you need for graphing a line. In fact, we will use this exact technique for finding intercepts when we study the graphs of all the conic sections later in our study of Algebra. Be careful not to say that y = −3 is the y-intercept because the intercepts, actually, are ordered pairs or points on the graph so you should take care to say (0,−3) is the y-intercept.
Use the given graph to answer the question.
Be sure to pay attention to the scale. Misreading the scale is the most common error in this type of problem.Example: Graph −4x + 3y = 12 using the intercepts.
Example: Graph y = 3.
Instructional Video: Graphing Horizontal and Vertical Lines