https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:equation-of-a-line-in-intercept-form/v/equation-of-a-line-in-intercept-form 2025-05-22T11:09:14.016569349Z Equation of a line in intercept form In this video, we'll learn how to find the equation of a line in intercept form. We leverage the previously derived form - 2-point point form for this. If we are given two intercepts, we first find the coordinates of points on x and y axes. We then use these points to get the equation in 2-point point form. If we generalise the result, we get the intercept form equation. We also solve a practice problem where we have to find the equation of a perpendicular. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Equation of a line in intercept form In this video, we'll learn how to find the equation of a line in intercept form. We leverage the previously derived form - 2-point point form for this. If we are given two intercepts, we first find the coordinates of points on x and y axes. We then use these points to get the equation in 2-point point form. If we generalise the result, we get the intercept form equation. We also solve a practice problem where we have to find the equation of a perpendicular. https://cdn.kastatic.org/ka-youtube-converted/gIMAdOgn_ms.mp4/gIMAdOgn_ms.mp4 525 Equation of a line in intercept form https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:equation-of-a-line-in-intercept-form/e/equation-of-a-line-in-intercept-form 2025-08-08T02:53:40.009522544Z Equation of a line in intercept form Equation of a line in intercept form Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:equation-of-a-line-in-intercept-form/v/intercept-form-challenge-problems 2025-05-22T11:09:14.016569349Z Intercept form (challenge problems) In this video, we solve two challenging problems involving intercept form. In the first one, we're given that the line cuts off equal intercepts on both axes. Assuming that length as a variable and leveraging the fact that the line passes through a fixed point, we solve the problem. In the second one, we're given that the sum of intercepts is a constant. This generates two possible scenarios - which we get after solving a quadratic. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Intercept form (challenge problems) In this video, we solve two challenging problems involving intercept form. In the first one, we're given that the line cuts off equal intercepts on both axes. Assuming that length as a variable and leveraging the fact that the line passes through a fixed point, we solve the problem. In the second one, we're given that the sum of intercepts is a constant. This generates two possible scenarios - which we get after solving a quadratic. https://cdn.kastatic.org/ka-youtube-converted/deKVsBVcg6U.mp4/deKVsBVcg6U.mp4 428 Equation of a line in intercept form https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:equation-of-a-line-in-intercept-form/v/word-problems-equation-of-a-line 2025-05-22T11:09:14.016569349Z Word problems (Equation of a line) In this video, we solve two word problems involving linear equations and their practical applications. We first look at a scenario where the length of copper rod changes as we increase the temperature. We look at the graph and try to interpret the linear equation which we write using two point form. In the second scenario, we're given the demand for two different selling price points. We use them to form the equation. We use the equation to find the demand at a third price point. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Word problems (Equation of a line) In this video, we solve two word problems involving linear equations and their practical applications. We first look at a scenario where the length of copper rod changes as we increase the temperature. We look at the graph and try to interpret the linear equation which we write using two point form. In the second scenario, we're given the demand for two different selling price points. We use them to form the equation. We use the equation to find the demand at a third price point. https://cdn.kastatic.org/ka-youtube-converted/IYDUXIWtSdQ.mp4/IYDUXIWtSdQ.mp4 440 Equation of a line in intercept form https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:equation-of-a-line-in-intercept-form/e/word-problems-equation-of-a-line 2025-08-08T02:53:40.009522544Z Word problems (Equation of a line) Word problems (Equation of a line) Ashish Gupta exercise https://www.khanacademy.org/math/ka-math-class-11/x0419e5b3b578592a:straight-lines-ncert-new/x0419e5b3b578592a:equation-of-a-line-in-intercept-form/v/line-segment-between-axes 2025-05-22T11:09:14.016569349Z Line segment between axes In this video, we solve two problems where we're given a point that lies on the line segment between the axes. In the first problem, the point is given as the mid point of the line segment. In the second problem, the point divides the line segment in a given ratio. In both of these problems, the strategy to find the equation of the line is to find the intercepts first. We use mid-point formula in the first one and section formula in the second. Ashish Gupta video https://cdn.kastatic.org/googleusercontent/ZCdwTudJg6e6n-P2gsaUborP4izvMsGo71pvEVlX9dNYWcLXcP7VHkWpn2grt4TUP1KoJLQP9NswyHBuBLSFTBw Line segment between axes In this video, we solve two problems where we're given a point that lies on the line segment between the axes. In the first problem, the point is given as the mid point of the line segment. In the second problem, the point divides the line segment in a given ratio. In both of these problems, the strategy to find the equation of the line is to find the intercepts first. We use mid-point formula in the first one and section formula in the second. https://cdn.kastatic.org/ka-youtube-converted/75Co7cADxlE.mp4/75Co7cADxlE.mp4 595 Equation of a line in intercept form