The students will be able to effectively compute the slope of lines.
Slope-intercept form linear equations Video transcript A line goes through the points -1, 6 and 5, 4. What is the equation of the line? Let's just try to visualize this.
So that is my x axis. And you don't have to draw it to do this problem but it always help to visualize That is my y axis.
And the first point is -1,6 So -1, 6. So negative 1 coma, 1, 2, 3, 4 ,5 6. So it's this point, rigth over there, it's -1, 6. And the other point is 5, And we go down 4, So 1, 2, 3, 4 So it's right over there.
So the line connects them will looks something like this. Line will draw a rough approximation. I can draw a straighter than that. I will draw a dotted line maybe Easier do dotted line. So the line will looks something like that. So let's find its equation. So good place to start is we can find its slope.
Remember, we want, we can find the equation y is equal to mx plus b. This is the slope-intercept form where m is the slope and b is the y-intercept.
We can first try to solve for m. We can find the slope of this line. So m, or the slope is the change in y over the change in x. Or, we can view it as the y value of our end point minus the y value of our starting point over the x-value of our end point minus the x-value of our starting point. Let me make that clear.
So this is equal to change in y over change in x wich is the same thing as rise over run wich is the same thing as the y-value of your ending point minus the y-value of your starting point.
This is the same exact thing as change in y and that over the x value of your ending point minus the x-value of your starting point This is the exact same thing as change in x. And you just have to pick one of these as the starting point and one as the ending point.
So let's just make this over here our starting point and make that our ending point. So what is our change in y? So our change in y, to go we started at y is equal to six, we started at y is equal to 6.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. MS Algebra A-F-IF-7 –Ch. Solving Word Problems by Writing Equations in Slope-Intercept Form ALGEBRA SUPPORT Solving Word Problems by Writing Equations in Slope-Intercept Form.
•write equaitons in slopeintercept form given two points. •grupobittia.com1a, grupobittia.com1b, grupobittia.com2 How to write an equation given slope and a point: • use y = mx + b as a formula. •replace m with the given slope and x and y with the coordinates of the given point. •solve for b. (a) Write an equation of the line that is parallel to y = 3x + 4 and passes through the point (-2, 0) in slope- intercept form. (b) Write an equation of the line that is parallel to y = -2 x - 1 and passes through the point (2, 6) in. The point slope form is defined that the difference in the y coordinate between two points (y - y1) on a line is proportional to the difference in the x coordinate points (x - x1).
By the end of the period, I will apply the slope Given 2 data points Y H. Writing a Slope-Intercept Equation from Two Points. Hit the "play" button on the player below to start the audio.
You can use the forward and back buttons to navigate between the lesson's pages. Additional buttons on the last . There are different forms of the equation of a line, including the standard form, point-slope form, and slope-line intercept form.
If you are asked to find the equation of a line and are not told which form to use, the point-slope or slope-intercept forms are both acceptable options. Slope-intercept equation from slope & point. Slope-intercept equation from two points. Practice: Slope-intercept from two points.
Slope-intercept form problems. Slope-intercept form review. Next tutorial.
Point-slope form. Write an equation in slope -intercept form for the line that passes through the given point and is parallel to the graph of given equation.
(3, í2), y = x + 4.