Maths-
General
Easy

Question

State the gradient and y-intercept of the line y = -3x + 8.

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. The given equation is already in this form. We compare the given equation with this form to get the slope and the y-intercept.

The correct answer is: we get Gradient = -3 y-intercept = 8


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

    y = - 3x + 8
    Comparing the above equation with

    y = mx + c
    We get

    m = -3; c =  8
    Thus, we get

    Gradient = -3

    y-intercept = 8
     

    The student needs to remember all the different forms of equation of a line and what each term and notation signifies in the equation.
    We can find the slope and y-intercept directly from the general form of the equation too; slope =negative straight a over straight b  and y-intercept =c over b, where the general form of equation of a line is ax + by + c = 0.

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