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If the equation of a line is in standard form, the easiest method to graph the line is by finding intercepts. Remember that at the y-intercept, the x coordinate is equal to 0, and that at the x-intercept, the y coordinate is equal to 0. To find the y-intercept, set x equal to 0 and solve for y.

The standard form of a linear equation is Ax+By=C. A, B, and C are constants, while x and y are variables. Standard form lets us quickly find the x- and y- intercepts.

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

Graphing a Linear EquationPlug x = 0 into the equation and solve for y.Plot the point (0,y) on the y-axis.Plug y = 0 into the equation and solve for x.Plot the point (x,0) on the x-axis.Draw a straight line between the two points.

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Hence the student should know that the graph of any first degree polynomial y =ax + b is a straight line, and, conversely, any straight line has for its equation, y =ax + b. Sketching the graph of a first degree equation should be a basic skill. See Lesson 33 of Algebra. y = 2x + 6.

Every first degree equation -- where 1 is the highest exponent -- has as its graph a straight line.

What is the first step in graphing a linear equation in slope intercept form? Draw the line that connects the two points. Use the slope to find a second point and plot it. Locate the y-intercept on the graph and plot the point.

The graph of a first degree polynomial is always a straight line. The graph of a second degree polynomial is a curve known as a parabola. A polynomial of the third degree has the form shown on the right.

There are three basic methods of graphing linear functions. The first is by plotting points and then drawing a line through the points. The second is by using the y-intercept and slope. The third is applying transformations to the identity function f(x)=x f ( x ) = x .