If you input the slope and x & y coordinates for the known point for the m, x, and y variables in the slope-intercept form equation, you can solve for the y-intercept b. Step One: Find the Y-Intercept of the Line You can write the equation of a straight line in a few steps if you know the slope and have the coordinates of one point on the line. How to Find a Linear Equation Using One Point and the Slope In addition to the rules above, the equation should be simplified such that coefficients A, B, and C do not have any common factors other than 1.Ī and B are the coefficients for the x and y coordinates of a point, and C is the y-intercept where the line crosses the y-axis. Additionally, in standard practice, the coefficient for A must also be positive. To use standard form, the values for each coefficient, A and B, must be a whole number since decimals are generally not used in standard practice. The standard form equation for a linear line states that A times the x-coordinate is equal to B times the y-coordinate equals the y-intercept C. Standard form is a formula to express the equation of a line in a slightly different way than slope-intercept form and point-slope form, which are both covered below. Standard form is the standard format for linear equations. Keep reading, and we’ll cover each of these in more detail. These are different ways to describe the same line using different equation formats created using a combination of coordinates for a point on the line and the slope of the line. There are three different forms of a linear equation often used to express a line they are standard form, slope-intercept form, and point-slope form. However, the calculator above allows you to find the equations for linear lines.įor lines, there are three commonly used forms for a linear equation that can all be used to describe the line using its slope. When expressing a line using an equation, the equation allows you to find the Cartesian coordinates for any point on the line, which you can use to plot it on a graph.Įquations can be used to mathematically express lines as well as curves. When working with lines, it’s possible to express the line using an equation/function or by plotting on a graph.
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