![]() Similarly, if d is the x-intercept, then the slope-intercept form of the equation of the line is y = m(x - d).įAQs on Equation of Straight Line What is the Equation of Straight Line in Coordinate Geometry? Using the point-slope form we have y - c = m (x - 0) ⇒ y = mx + c, where c is the y-intercept. Say, a line intersects the y-axis at the point (0, c). Now, suppose a line is given to you with its slope m and its y-intercept. Hence the point-slope form of the equation of a line is proved. Slope = Difference in y-coordinates/Difference in x-coordinates We know that the equation for the slope of a line is: Let (x, y) be any other random point on the line whose coordinates are not known. Let us assume that (x 1, y 1) is a known point on the line. We will derive this formula using the equation for the slope of a line. Let us see how to find the point-slope form. Y - y 1 = m (x - x 1), where (x, y) is an arbitrary point on the line. The equation of a straight line whose slope is m and which passes through a point (x 1, y 1) is found using the point-slope form. So, we obtain the standard form of the equation of the line as 2x - y = 1. Subtract 2x from both sides of the equation, we have Let us consider an example to transform the equation y = 2x - 1 in the standard form. The standard form of a straight line is given by ax + by = c, where a, b, c are real numbers. Now that we know the basic form of the equation of a line, let us go through different forms of equations of a straight line: Standard Form of Equation of Line Also, the slope of all the vertical lines including the y-axis is not defined. In fact, all lines parallel to the x-axis have a slope of 0. The angle θ is called the inclination of the line and tan θ is called the slope of the line. Suppose a line l makes an angle of θ with a positive direction of the x-axis. ![]() Try your hands at solving a few interesting examples and questions for a better understanding of the concept. We will try to understand the general equation of a line, straight-line formula, the way of finding the equation of a straight line, and discover other interesting aspects of it. In this article, we will explore the concept of the equation of a straight line. A straight line is a two-dimensional geometrical entity that extends on both its ends till infinity. The equation of a straight line can be written in different forms such as point-slope form, slope-intercept form, general form, standard form, etc. It is the most common form of the equation of a straight line that is used in geometry. ![]() The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept. ![]()
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