The point slope form, , is useful in situations involving slope and the location of one or more points. The standard form, , is usually easier to use when we need to make algebraic calculations. When needs or knowledge change, we can convert an equation from one form into another.
To find the slope using a general or standard form equation, use the slope formula: m=-A/B where A and B are integer variables found in the equation. The m is the slope.
Using Points to Write Slope-Intercept Equation The first step will be to use the points to find the slope of the line. This will give you the value of m that you can plug into y = mx + b. The second step will be to find the y-intercept. Once you know m and b, you can write the equation of the line.
We're going to rise three units. And then we're going to run four units to the right. So that'sMoreWe're going to rise three units. And then we're going to run four units to the right. So that's going to take us to this point here all right x intercept which turns out to be four or 4 comma 0.
To easily see the slope and y-intercept, convert each one into the slope-intercept form of a line: y = m x + b where m is the slope and b is the y-intercept.
Point-slope form: y-a = m(x-b). For example, your slope (m) is 3 and your point (a,b) is 9,10. You would substitute your y-coordinate for a, and your x- coordinate for b. Your new equation would look like this: y-10 = 3(x-9).
The slope of a parallel line will be the same as the slope of the original line. Both slopes can be found by counting the rise over run on a graph or by using the coordinates and plugging them into the slope formula. The slope, m, can also be found when the equation is written in slope-intercept form y = mx + b.
Form here's our x1 y1 we're going to do y. Minus that y1 which is 1 so y + 1 equals our slope - 1/3MoreForm here's our x1 y1 we're going to do y. Minus that y1 which is 1 so y + 1 equals our slope - 1/3 anytime you have a negative sign in front of a fraction go ahead and put it with the top. Number.
Slope-intercept form can be thought of as a specific case of point-slope form, in which the "point" is the y-intercept. Thus, to convert to point-slope form, first convert to slope-intercept form, then move the constant term b to the left side of the equation (or isolate x and then divide by the y coefficient).
The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.