linear equation slope intercept form calculator

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.

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.

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. The line equation, in this case, becomes Equation of a horizontal line 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

Linear equation slope intercept form calculator