![]() ![]() ![]() To help you understand this better, let’s look at the y intercept in the context of word problems. When you have an x value equal to zero, the corresponding y-value is the y intercept. Then you can check whether you solved the slope correctly or not using the slope intercept calculator or the y intercept calculator. The last step is to divide both sides of the equation by (x₂ – x₁) to obtain the slope:Īfter solving for the slope, you can take it further in order to obtain the y intercept:.After this, subtract your first equation from the second one:.Using the equation, substitute the values:.For the first point, let’s assign its coordinates as (x1, y1) while the coordinates of the second point are (x2, y2).To understand the calculation correctly, follow these steps: If you want to solve for the value manually instead of using a slope intercept form calculator, use the proper point slope formula. If you have a negative value, this means that the y values decrease as the x increases. If you have a positive value, this means that the y values increase as the x increases. This slope intercept form describes how much y changes for any fixed change that occurs in x. In this case, the slope refers to the line’s gradient or inclination. Mathematically, you can describe any line in a given plane as the relationship between the y-axis and the x-axis of the individual points which contribute to that line. Note that in the case of a horizontal line, the vertical displacement is zero because the line runs parallel to the x-axis.Before using this slope or y intercept calculator, you must understand what a slope intercept form is in math. 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. 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 ![]()
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