#SLOPE INTERCEPT FORM EQUATION MAKER HOW TO#

Let us see see, how to derive the slope-intercept form equation of a straight through the following steps.

Point Slope Form: y - y 1 = m(x - x 1).Equation of a straight line in slope-intercept form :.

The other forms of equations of a line, similar to intercept form, are as follows. What Are the Other Forms of Equations of a Line, Similar to Intercept Form? This above-derived equation of a line is of the form ax + by + c = 0, and it represents the standard equation of a line. The steps of transformation from intercept form to standard form is as follows. The intercept form of the equation of the line is x/a + y/b = 1, and the standard form of the equation of the line is ax + by + c = 0. The intercept form of the equation of the line can be easily transformed into the standard form of the equation of a line. How To Convert Intercept Form to Standard Form of Equation of a Line? Secondly, based on the signs of the intercepts, we can find the quadrant through which this line passes. Firstly, the intercept form of equation of line ( x/a + y/b = 1), helps us in knowing the x-intercept and the y-intercept of the line. The intercept form of the equation of the straight line helps us to derive two important aspects. What Can be Derived From the Intercept Form of Equation of A Line? The signs of these intercepts helps us to know the quadrants through which this line is passing. The value of 'a' is the distance from the origin, and on the x-axis, at which this line cuts the x-axis, and the value of 'b' is the distance from the origin, and on the y-axis, at which this line cuts the y-axis. Here 'a' is the x-intercept, and 'b' is the y-intercept. The Intercept Form of Equation of a Line is of the Form x/a + y/b = 1. The following related topics are helpful for a better understanding of the intercept form of the equation of a line.įAQs on Intercept Form What is Intercept Form of Equation of a Line?

The intercept form of the equation of a line makes a right triangle with the coordinate axes, and the area of this right triangle is 1/2.

Based on the sign of the intercepts we can find the quadrants through which the line passes through.

The intercept form of the equation of a line makes the x-intercept of 'a' units, and the y-intercept of 'b' units.

The intercept form of the equation of a line is x/a + y/b = 1.

The following points help in clearly understanding the details of the intercept form of the equation of a line. The equation of the line passing through the two points (a, 0), and (0, b) respectively is as follows. The equation of a line passing through the two-points (a, 0), and (0, b) can be found using the two-point form of the equation of a line.

The two point form of equation of a line requires two points on the line. Here we derive the intercept form of the equation of the line from the two-point form of equation of a line. The intercept form of the equation of the line can be derived from the other forms of equations of a line. Further, the intercept form of the equation of a line can be simplified and represented as the standard form of the equation of a line as bx + ay = ab. Since this line cuts both the coordinate axes, it makes a right triangle with the coordinate axes, and the area of the right angled triangle is equal to the product of half of its intercepts 1/2 Here x, y, are the variables in the equation, a, b, are the x-intercept, and the y-intercept in the equation. Intercept Form of Equation of a Line: x/a + y/b = 1. Also considering the points, the line cuts the x-axis at the point(a, 0), and it cuts the y-axis at the point(0, b).

The x-intercept is the shortest distance of the point on the x-axis from the origin, where the line cuts the x-axis, and the y-intercept is the shortest distance of the point on the y-axis from the origin, where the line cuts the y-axis. The intercept form of the equation of a line has an equation x/a + y/b = 1, where 'a' is the x-intercept, and 'b' is the y-intercept.

Slope intercept form equation maker