Maths-
General
Easy

Question

Find the gradient and  y- Intercept of the line x plus 2 y equals 14

hintHint:

Gradient is also called the slope of the line. The slope intercept form of the equation of the line is y = mx + c, where m is the slope of the line and c is the y-intercept. First we convert the given equation in this form. Further, compare the equation with the standard form to get the slope and the y-intercept.

The correct answer is: we get Gradient = negative 1 half y-intercept = 7


    Step by step solution:
    The given equation of the line is

    x + 2y = 14
    We need to convert this equation in the slope-intercept form of the line, which is

    y = mx + c
    Rewriting the given equation, we have

    2y = 14 - x
    Dividing by 2, we get

     y equals 14 over 2 minus x over 2
    Simplifying, we get

     y equals negative 1 half x plus 7
    Comparing the above equation with , we get

    straight m equals negative 1 half semicolon straight c equals 7
    Thus, we get

    Gradient = negative 1 half

    y-intercept = 7
     

    We can find the slope and y-intercept directly from the general form of the equation too; slope = negative a over b  and y-intercept =c over b , where the general form of equation of a line is ax + by + c = 0. Using this method, be careful to check that the equation is in general form before applying the formula.

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