Mathematics
Grade10
Easy

Question

Calculate the slope of the following 12x - 6y = 30.

  1. 2
  2. -2
  3. 12
  4. -12

hintHint:

The general equation for a straight line: y=mx+b
The slope is m

The correct answer is: 2


    Step 1 of 1:
    Given equation, 12x - 6y = 30
    → 2 x minus y equals 5 (dividing both sides by 6)
    → y = 2x + (-5)
    Slope is 2
    Final Answer:
    The right choice is- c. 2

    In mathematics, the equation of a straight line describes the relationship between the coordinate points that comprise that line. It can be expressed in several ways and contains information about a line's slope, x-intercept, and y-intercept.
    A straight line's standard form is given by the equation ax + by = c, where a, b, and c are real numbers. Let's illustrate how to put the equation y = 3x - 1 in standard form. Add 2x to neither side of the equation, and we get
    y - 3x = 3x - 1 - 3x
    = y - 3x = -1
    = 3x - y = 1
    As a result, we arrive at the line's standard form, which is 3x - y = 1

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