How to Find a Point Given 1 Point, Slope, and Distance When y is equal to zero, x is equal to -16, so the x-intercept is -16. Next, to find the x-intercept, set y equal to 0. When x is equal to zero, y is equal to 8, so 8 is the y-intercept. To find the y-intercept, start by setting x to 0. The slope-intercept form equation states that the y value of a coordinate on the line is equal to the x value of the coordinate times the slope m, plus the y-intercept b.įor example, let’s find the x and y intercepts of the line y = 1/2x + 8. You can find the equation of a line using slope-intercept form given the slope m and one point on the line. Slope-intercept form is one of the most commonly used equations to represent a line. The most common equations for a line are slope-intercept form, point-slope form, and standard form. Now that you found the slope, you can mathematically express a linear line using one of several equations. How to Find the Equation of a Line Using the Slope Therefore, when calculating the slope, one would be dividing by zero, thereby making the slope infinite or undefined. This is because any two points on the line have the same x value, so delta x would equal zero. In the special case of a vertical line, the slope is undefined. If the slope is equal to zero, the line is horizontal and does not slant up or down. If the slope is negative, then the line is slanted down and drops from left to right on the graph. If the slope is positive, then the line is slanted up and rises from left to right on the graph. In this case, you can simplify the fraction to reduce it to its simplest form rather than converting it to a decimal. In some cases, you may want to represent the slope as a fraction or ratio. You can do this by dividing the numerator in the slope formula by the denominator, or more simply, by using a fraction to decimal calculator. The final step is to divide the delta of y by the delta of x to find the slope. Δx = x 2 – x 1 Step Three: Divide the Delta of y by the Delta of x You can find the delta of x using the formula: The denominator represents the change in the value of x, which is known as the delta of x, or Δx. You can find the delta of y using the formula: The numerator represents the change in the value of y, which is known as the delta of y, or just Δy. The absolute value of the numerator will be the vertical distance between the two points, and the absolute value of the denominator will be the horizontal distance between the two points. Next, evaluate the numerator and denominator of the slope formula using these values.

Step Two: Find the Difference in x and y Coordinates Start by replacing the y 1, y 2, x 1, and x 2 values in the formula with the coordinates for the two points on the line. Step One: Substitute Points in the Slope Formula

Then, follow three easy steps to calculate the slope.

Slope intercept form table calculator