We also now know the y-intercept bwhich is 9 because we just solved for b. You have a starting point on a map, and you are given a direction to head. If you are given slope and the y-intercept, then you have it made.
To write the equation, we need two things: Example 1 You are given the point 4,3 and a slope of 2. It could be slope and the y-intercept, but it could also be slope and one point or it could be just two points. Point-slope form is also used to take a graph and find the equation of that particular line.
Writing Linear Equations Given Slope and a Point When you are given a real world problem that must be solved, you could be given numerous aspects of the equation. The point slope form gets its name because it uses a single point on the graph and the slope of the line.
Now we know the slope m is 1. Notice that in the chart, the 2 grey sections slope and y-intercept are the two numbers that we need in order to write our equation. Example 2 Find the equation in point-slope form for the line shown in this graph: In this case it denotes a specific y value which you will plug into the equation.
As you can see, point-slope form is nothing too complicated. You have enough information to find the y-intercept, but it requires a few more steps. Although you have the slope, you need the y-intercept.
Once you have m slope and b y-interceptyou can write an equation in slope intercept form. You have all the information you need to draw a single line on the map. Here you will have to read the problem and figure out the slope and the point that is given.
The slope is going to be your "rate" and the point will be two numbers that are related in some way. Finding the slope requires a little calculation, but it is also pretty easy.
Then we can write our equation. Your slope was given to you, so where you see m, use 2. Therefore the slope of this line is 2. You must always know the slope m and the y-intercept b. And of course, if you need more help, feel free to ask the volunteers on our math help message board.
These two numbers are related.
You could have used any triangle to figure out the slope and you would still get the same answer. While you could plot several points by just plugging in values of x, the point-slope form makes the whole process simpler.
Writing Equations Given Slope and a Point Write the equation of a line, in slope intercept form, that passes through the point 6, -3 with a slope of This relation means that we know the x and y coordinates of an ordered pair.
We know the slope and a point x,y. Think about it this way: If you are given slope and a point, then it becomes a little trickier to write an equation.
Note also that it is useful to pick a point on the axis, because one of the values will be zero. Your point is -1,5. Your final result should look like: The variable m is the slope of the line.
I know that this is a rate and therefore, is also the slope. Now we know the slope m is -2 because that was given to us.Write the point-slope equation of the line that passes through (7, 3) (7,3) (7, 3) left parenthesis, 7, comma, 3, right parenthesis whose slope is 2 2 2 2.
Straight-Line Equations: Point-Slope Form.
You can use the Mathway widget below to practice finding a line equation using the point-slope formula. Try the entered exercise, or type in your own exercise. Given two points, I can always find the slope: Then I can use either point as my (x 1, y 1).
Find the Equation of a Line Given That You Know a Point on the Line And Its Slope The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line.
If you are given slope and a point, then it becomes a little trickier to write an equation.
Although you have the slope, you need the y-intercept. You have enough information to find the y. Find the Equation of a Line Given That You Know Two Points it Passes Through The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.
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 .Download