This equation is in slope intercept form and may be rewritten as y = 3x+0, where 3 represents the slope and "0" represents the y-intercept. Choose values for x and solve for y to determine **a few spots** on the line. Draw a straight line across the spots and plot them. This should give you **a good visual** of how to draw a picture of a linear equation in slope intercept form.

Here are some more examples:

Y=3x+4; y=x^2-8; y=-3x-13; y=5-3x;

See how each equation can be rewritten in **slope intercept form**? That's what allows you to use **the line concept** to solve problems with equations in this form.

Now let's look at some practice questions. You will find the answers below each question.

1. How do you graph 3x? 3x is the same as **â3 times** xâ so it produces an x axis value of **9 units** when you use the scale on your graph paper. You could also write this as x = 9 or x-axis coordinate = 9. Remember that all equations must have numbers for you to be able to solve them so 3x makes sense even though it has no units attached to it.

- How do you graph 3x?
- What is X 3 on a graph?
- How do you graph a slope on a graph?
- How do you graph the equation y 4?
- What is the graphing form for the graph of a line?
- What are the three steps in graphing equations in two variables?
- How do you graph a linear equation xyz 5?
- How do you graph a math problem?

Because x = 3 is a straight line, there is no y-intercept and the slope is unknown. Because the equation does not specify **which direction** the line goes in, it could be positive or negative. There are two solutions.

Procedure for Graphing a Line with a Fixed Slope

- Plot a point on the y-axis.
- Look at the numerator of the slope.
- Look at the denominator of the slope.
- Plot your point.
- Repeat the above steps from your second point to plot a third point if you wish.
- Draw a straight line through your points.

To graph an equation of **this type**, such as y = 4, draw a horizontal line across the point (0, b) on the y-axis (see Example 4). If the equation does not have the form y = b, solve it for y. The graph of x = an is a vertical line that passes through **the x-axis point** (a, 0). If there are no solutions to the equation, draw a circle around the point (0, b). Otherwise, draw two lines perpendicular to the x-axis at **height b** and connect them with the point (0, b).

Here is the graph of y = 4:

Now let's try one with a variable in it: y = x 2. We can see that the solution is not a number so we'll need to draw a circle instead.

The x and y-intercepts of a line in standard form, Ax+By=C, where A0 and B0, may be found using the formulae below. If there are no solutions to these equations, then the line cannot be represented as a graph.

If the line has the equation y = mx + c, then its graph is a point with coordinates (m,c) in the xy-plane. If we let X = mt + c, then the line's graph is also a point with coordinates (X, Y) on the time-line at **any given moment** t.

Thus, if you know the formula for a line in **standard form**, then you can find the coordinates of its point graph by substituting **real numbers** for t. The process is similar if you have an equation for the line in **non-standard form**; just use the inverse of each variable name in the formula.

For example, if you know that the line z = 3x - 2y is in standard form, then it's graph is the point with coordinates (3, -2). Substituting real numbers for z gives us the coordinate pair (3, -2). This means that at any given moment t, the position of the point graph will be (3t - 2, t).

- Identify the y-Intercept. Do this by solving the equation of interest for y, if necessary, and identifying b.
- Label the Axes.
- Plot the y-Intercept.
- Determine the Slope.
- Draw a Line Through the y-Intercept with the Correct Slope.
- Verify the Graph.

Explanation:

- Y=mx+b is the y intercept form.
- X−x−y=y−x−y+5 This leaves.
- −y=−x+5 Multiply both sides by -1.
- Y=x−5.
- −5=b the y intercept or the beginning of the graph.
- 1=m the slope of the equation.
- Connect the three points and that is the graph of the equation. x=y+5.

The slope and y-intercept can be used to graph a linear equation.

- Locate the y-intercept on the graph and plot the point.
- From this point, use the slope to find a second point and plot it.
- Draw the line that connects the two points.