The slope formula states that m is equal to y 2 minus y 1 divided by x 2 minus x 1. The first step to do this is to find the slope using the slope formula: If you know two points on the line, then you can also express the line as an equation. How to Find a Line Equation Using Two Points The resulting equation is the slope-intercept form equation for the line. ![]() Step Two: Express the Line as an Equationįinally, substitute the slope and y-intercept for the m and b variables in the slope-intercept form equation, respectively. You can also use a y-intercept calculator to find the y-intercept. 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. For example, if there are two solutions, one positive and one negative, and you find the positive one, enter a negative number for the start point to find the negative answer.īuy a Casio fx-991EX calculator on Amazon using this affiliate link to help support this site.When working with lines, it’s possible to express the line using an equation/function or by plotting on a graph. To find another value, change the start point at step 4. If you wish to use more than one variable, you need to use the quadratic equation solve.įurthermore, the Newton-Raphson numerical method only returns one value. The variable can be used multiple times, as shown in this example, however you can’t use two or more variables such as x and y. The difference between the left expression and the right expression is shown as the solution to L–R.Ĭaveats: As mentioned, this only works with equations with one variable. The first value of x as found by the numerical method will be provided on the screen and is saved to the X variable. The current value of X is displayed for reference and will be used if no new value is provided. ![]() This Casio calculator uses Newton-Raphson numerical method solving for x. If applicable, enter a number as the starting point.shift-solve to enter equation solve by pressing SHIFT CALC.An X is inserted for variable that you wish to solve. Because the equation solver uses a numerical method, it only works with equations with a single variable, but can find multiple values.įor example, I will solve the following equation for x: Once the equation has been entered, the calculator uses the Newton-Raphson numerical method to solve the equation. Solving equations is possible with the equation solver in the fx-991ES PLUS or fx-991EX calculator’s shift-solve functionality.
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