Note that in the case of a horizontal line, the vertical displacement is zero because the line runs parallel to the x-axis. Note that in the case of a vertical line, the horizontal displacement is zero because the line runs parallel to the y-axis. Note that if, then and if, then Equation of a vertical line Once we have direction vector from to, our parametric equations will be This vector quantifies the distance and direction of an imaginary motion along a straight line from the first point to the second point. We need to find components of the direction vector also known as displacement vector. Let's find out parametric form of a line equation from the two known points and. To find the equation of a line for any given two points that this line passes through, use our slope intercept form calculator. Study Tools AI Math Solver Popular Problems Study Guides Practice Cheat Sheets Calculators Graphing Calculator Geometry Calculator. Slope Intercept Form Distance Midpoint Start Point End Point Parallel Parallel Lines Perpendicular. Before using the calculator, it is probably worth learning how to find the slope using the slope formula. Free slope calculator - find the slope of a line given two points. Write the final line equation (we omit the slope, because it equals one):Īnd here is how you should enter this problem into the calculator above: slope-intercept line equation example Parametric line equations The slope is basically the amount of slant a line has and can have a positive, negative, zero, or undefined value.Calculate the intercept b using coordinates of either point.Problem: Find the equation of a line in the slope-intercept form given points (-1, 1) and (2, 4) The line equation, in this case, becomes How to find the slope-intercept equation of a line example Note that in the case of a horizontal line, the slope is zero and the intercept is equal to the y-coordinate of points because the line runs parallel to the x-axis.

Graphing CalculatorCalculator SuiteMath Resources. The line equation, in this case, becomes Equation of a horizontal line Move the points to graph the linear equation on the right in blue. Note that in the case of a vertical line, the slope and the intercept are undefined because the line runs parallel to the y-axis. So, once we have a, it is easy to calculate b simply by plugging or to the expression above.įinally, we use the calculated a and b to write the result as įor two known points we have two equations in respect to a and b Let's find slope-intercept form of a line equation from the two known points and. How to find the equation of a line in slope-intercept form

Slope intercept form graph calculator