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a website about ·        Graphing a linear equation when given the equation in slope-intercept form

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a website about ·        Graphing a linear equation when given the equation in slope-intercept form

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Step 1: Put the equation in Slope Intercept Form

For example: y = 2x + 3 is in slope intercept form.

The number in the m position (2) is the slope and it is a positive number so the slope of the line will be a positive slope. The number in the b position (3) is the y-intercept which means this is where the graphed line will cross the y-axis.

When a linear equation is not in Slope Intercept Form, you must use your algebra skills to change it into the correct form. For example: 2y + 6 = 2x

To change the equation into slope intercept form you must first subtract 6 on both sides of the equation. By doing this, you get 2y = 2x - 6. We are almost there. We now need to isolate y on the left side of the equation. We do that by dividing both sides by 2. Remember to divide everything on the right side by 2. This gives us

y = x - 3. We now have the equation in slope intercept form and we can move on to Step 2.

Step 2: Graph the y-intercept point (the number in the b position) on the y-axis. In the example above our equation is y = x - 3 The number in the b position is a -3, so we plot a point on (0,-3) on the y axis. Sometimes you will encounter an equation that does not have a number in the b position. For example: y = 3x In this case you have a slope (3) but no y-intercept. In equations without a number in the b position, the first point is plotted at the origin (0,0).

Step 3: From the point plotted on the y-axis, use the slope to find your second point. Remember, the slope is the number in the m position in your equation. In the equation y = x - 3 the slope is 1 since the variable counts as one. The slope of a line is the slant of the line and it is expressed as the rise being the up and down on the y-axis and the run being the distance right or left. In our example above the slope is . From the point (0,-3) on the y-axis use the slope to find the second point. In this case go up one and over one to the right to the point (1,-2). This will be your second point. Don't get caught up in the up or down in the (rise) part of the fraction . It's the run, or side to side that matters since that will determine whether the line will be a positive or negative slope. In our example above, we could go down one from point (0,-3) and to the left one to maintain our positive slope.

If slope is an integer use one as denominator. If the equation is the slope is already in the form. In this example, 5 is in the b position and will be plotted as (0,5) on the y-axis. From that point you will move up 2 and over 3 to the left to the point (3,7). This will be your second and final point. Now draw your line. You will notice, that because you went up 2 and to the left 3, the line will be a negative slope.

Step 4: Draw your line using the two points you plotted (y-intercept (b) first, slope (m) second. Be sure your line is pointing the right way. See below.

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Algebra 1 - How to Graph a Linear Equation Using Slope and y

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Step 1: Put the equation in Slope Intercept Form For example: y = 2x + 3 is in slope intercept form. The number in the m position (2) is the slope and it is a positive number so the slope of the line will be a positive slope.

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A video about ·        Graphing a linear equation when given the equation in slope-intercept form

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A video about ·        Graphing a linear equation when given the equation in slope-intercept form

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Ex 1:  Graph a Linear Equation in Slope-Intercept Form

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This video provides an example of how to graph a line in slope intercept form with a positive fractional slope and a whole number y-intercept. Complete Video Library: http://www.mathispower4u.com Search by Topic: http://www.mathispower4u.wordpress.com

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a picture about ·        Graphing a linear equation when given the equation in slope-intercept form

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a picture about ·        Graphing a linear equation when given the equation in slope-intercept form