slope intercept form calculator with one point

Step 2: Put the values in the general point-slope form. See an example for a manual calculation.įind the slope-intercept form of the linear equation with slope 5. You can use the point-slope form calculator to find the equation. This is the slope-intercept form where the coefficient of x is the slope and constant 5 is the y-intercept. Putting these values in the slope formula or use a slope calculator. So, if we keep solving we will eventually derive the slope-intercept form as well.īut let’s do a more realistic example with some actual values. It is one of the initial stages of the derivation of slope-intercept form. The slope and the intercept are then combined to provide the equation of the line in slope intercept form (ymx+b). But to simplify it more, we remove the denominator of the right-hand side and multiply it to the left as To write its formula we will have to let another point be (X, Y). Consider that you have a line with a slope of m and a point (X 1, Y 1). If you have this type of equation of the line then you can easily know the slope and one point on the line by merely looking at it.įor the derivation of the equation of a line, we will obviously need to assume some information. The point-slope equation for this line will be:

For a more concrete example, assume a random point and slope, let’s say (3,4) and -1. Where m is the slope and the point (y 1, x 1) is often a known coordinate point. The name comes from the fact that it is derived from the slope and a point on the line. Substitute the value of the slope m to find b (y-intercept). For the derivation of the formula of the slope-intercept form of a line, we assume a straight line with the slope m that intersects the y-axis at the point (0. Point slope form is also one of those many equations. To find the equation of a line ymx-b, calculate the slope of the line using the formula m (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. That means it has more than one linear equation.Īll of these equations can be simplified or converted to one another with the right technique. What is the point-slope form?Ī line can be represented mathematically or more specifically algebraically in many ways. Let’s learn what the point-slope form is and how to derive the point-slope form using the slope formula. Created by Sal Khan and Monterey Institute for Technology and Education. We identify the slope (m) and y-intercept (b) to create our equation y (-3/4)x + 8. Learn how to write an equation in slope-intercept form (ymx+b) for the line with a slope of -3/4 that goes through the point (0,8). This point-slope form equation calculator provides you with a number of things related to the linear equation. Slope-intercept equation from slope & point. The calculator has an easy interface to avoid any confusion and trouble. It uses a point and slope to give you a linear equation. Point slope form calculator with two pointsĪ point-Slope form calculator gives the difference between two points of a line.

Slope intercept form calculator with one point