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.
What is the equation of this line in slope-intercept form? So any line can be represented in slope-intercept form, is y is equal to mx plus b, where this m right over here, that is of the slope of the line. And this b over here, this is the y-intercept of the line.
Let me draw a quick line here just so that we can visualize that a little bit. So that is my y-axis. And then that is my x-axis.
And let me draw a line. And since our line here has a negative slope, I'll draw a downward sloping line.
So let's say our line looks something like that. So hopefully, we're a little familiar with the slope already. The slope essentially tells us, look, start at some point on the line, and go to some other point of the line, measure how much you had to move in the x direction, that is your run, and then measure how much you had to move in the y direction, that is your rise.
And our slope is equal to rise over run. And you can see over here, we'd be downward sloping.
Because if you move in the positive x direction, we have to go down. If our run is positive, our rise here is negative. So this would be a negative over a positive, it would give you a negative number.
That makes sense, because we're downward sloping. The more we go down in this situation, for every step we move to the right, the more downward sloping will be, the more of a negative slope we'll have. So that's slope right over here. The y-intercept just tells us where we intercept the y-axis.
So the y-intercept, this point right over here, this is where the line intersects with the y-axis. This will be the point 0 comma b. And this actually just falls straight out of this equation. When x is equal to so let's evaluate this equation, when x is equal to 0.
Well, anything times 0 is 0.
So y is equal to 0 plus b, or y will be equal to b, when x is equal to 0. So this is the point 0 comma b.
Now, they tell us what the slope of this line is.Apart from the stuff given above, if you want to know more about "How to write linear inequalities in slope intercept form", please click here Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.
Find the equation of a line based on the given slope and a point and express the equation in standard form. The slopes in this collection of worksheets can be in the form of either integers or fractions whereas the coordinates are represented in integer form.
Feb 17, · First use the given data to write point-slope equation of the line. Then rearrange it to slope-intercept form. Determine slope: rise = -1 - (-4) = 3Status: Resolved.
Here's a messier one -- there's something to really watch out for on the clean up! Let's find the equation of the line that passes through the point. General Form of Equation of a Line The "General Form" of the equation of a straight line is: Ax + By + C = 0.
A or B can be zero, but not both at the same time. The General Form is not always the most useful form, and you may prefer to use: The Slope-Intercept Form of the equation of a straight line. Writing linear equations using the slope-intercept form. You can use this equation to write an equation if you know the slope and the y-intercept.
Example. Find the equation of the line. Choose two points that are on the line. Calculate the slope between the two points.