A review of the main results concerning lines and slopes and then examples with detailed solutions are presented. If a line passes through two distinct points P1 x1y1 and P2 x2, y2its slope is given by: This is another interactive tutorial on the slope of a line. General Equation of a Straight line:

Sal finds the equation of a line perpendicular to a line given in slope-intercept form that passes through a specific point. Ask Math Questions you want answered Share your favorite Solution to a math problem Share a Story about your experiences with Math which could inspire or help others. Which five Google technologies would you like to research for your Final Case Studies? Google has paved the way for innovation by creating new web based and creative technology benefiting people all around the Globe.

Using the Point-Slope Form of a Line Another way to express the equation of a straight line Point-slope refers to a method for graphing a linear equation on an x-y axis. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.

Point-slope form is also used to take a graph and find the equation of that particular line. The point slope form gets its name because it uses a single point on the graph and the slope of the line.

Converting Equations to the Slope-Intercept Formula. Let’s say we are given an equation in a form other than \(\boldsymbol{y=mx+b}\) and we were asked to graph rutadeltambor.com’s graph the line: \(x=7y+3\) We know that this equation is not in the slope-intercept form, and we must use what we’ve learned about algebra to somehow get it in the form we know. The m variable is the slope of the line and controls its 'steepness'. A positive value has the slope going up to the right. A negative slope goes down to the right. The b variable is the y intercept - the point where the line crosses the y axis. Adjust the sliders above to vary the values of a and b, and note the effects they have on the graph.. Another form. Write the equation of the given line in slope-intercept form to determine its slope, then use that same slope and your point in the point-slope formula Equation of a line perpendicular to a given line.

Think about it this way: You have a starting point on a map, and you are given a direction to head. You have all the information you need to draw a single line on the map. The standard point slope formula looks like this: In this case it denotes a specific y value which you will plug into the equation.

The variable m is the slope of the line. Example 1 You are given the point 4,3 and a slope of 2. Find the equation for this line in point slope form.

Just plug the given values into your point-slope formula above. Your slope was given to you, so where you see m, use 2. Your final result should look like: Your point is -1,5. Create the equation that describes this line in point-slope form.

Try working it out on your own. Point-slope form is all about having a single point and a direction slope and converting that between an algebraic equation and a graph.

In the example above, we took a given point and slope and made an equation. Example 2 Find the equation in point-slope form for the line shown in this graph: To write the equation, we need two things:To write the equation of a line, all you need is one point it passes through and the slope.

That's because the point is (x, y) and the slope is m, so when you substitute these values into y = mx + b, you just have to solve for b. Write an equation in slope -intercept form for the line described.

slope , passes through (0, 5) 62/87,21 Substitute m = and (x, y) = (0, 5) in the equation y. Nov 01, · Slope-intercept form of a line is y=mx+b where m is the slope of the line and b is the y-intercept.

When two lines are perpendicular, their slopes are opposite reciprocals of each other. For example, if the slope of one line is 3, the slope of a perpendicular line would be -1/rutadeltambor.com: Resolved. Practice finding the equation of a line passing through two points.

After completing this tutorial, you should be able to: Find the slope of a line that is parallel to a given line. Find the slope of a line that is perpendicular to a given line. To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope.

This is the value of m in the equation. Next, find the coordinates of the y -intercept--this should be of the form (0, b).

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