MathsFinding Intercepts From an Equation – Explanation, Solved Examples and FAQs

Finding Intercepts From an Equation – Explanation, Solved Examples and FAQs

Equation of a Line Passing Through Two Points

The equation of a line passing through two points is in the form y = mx + c, where m is the slope of the line and c is the y-intercept.

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    The general form equation of a line connecting two points (x₁, y₁) and (x₂, y₂) is given as y – y₁={[y₂ – y₁]/[x₂ – x₁]} * (x – x₁). The slope form of a line connecting two points (x₁, y₁) and (x₂, y₂) is equivalent to {y₂ – y₁}/{x₂ – x₁}. Remember that anytime we need to obtain the equation of a line or equation of a line in standard form, we require two things i.e. the slope and the y-intercept. The slope can be obtained from the slope formula, y – y₁/{x₂ – x₁} and the y-intercept can be obtained from the y-intercept formula, y = {[x₂ – x₁]/[y₂ – y₁]}.

    A point

    -to-point protocol is a computer networking protocol that enables two devices to exchange data directly, without passing it through a third device.

    A point-to-point protocol is a networking protocol that enables two devices to exchange data directly, without passing it through a third device. Point-to-point protocols are used in a wide variety of applications, including local area networks, wide area networks, and storage area networks.

    There are a number of different point-to-point protocols, but the most common are Ethernet and Fibre Channel. Ethernet is the most widely used protocol, while Fibre Channel is used in high-performance networks.

    A slope

    that is too steep will have a high potential for erosion.

    A slope that is too steep will have a high potential for erosion.

    Intercepts Y

    -axis

    An intercept is a point on a graph where a line or curve crosses the y-axis. It is the point at which the line or curve has a y-coordinate of 0.

    How to Find the X-Intercepts

    of a Quadratic

    To find the x-intercepts of a quadratic equation, set the equation equal to zero and solve for x.

    Finding Intercepts Equation

    The equation for intercepts is y = a + bx. This equation states that the y-intercept (a) is equal to the sum of the y-intercepts (b) and the x-intercepts (x).

    How to Find the X and Y-Intercepts of the Quadratic Equation

    The x-intercept is the point at which the equation intersects the x-axis. The y-intercept is the point at which the equation intersects the y-axis.

    To find the x-intercept, set y equal to zero and solve for x.

    To find the y-intercept, set x equal to zero and solve for y.

    Below are our solved values for both x and y-intercepts that match along with the graphical solution.

    x-intercept: (0, -4)
    y-intercept: (0, 4)

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