Mathematics
Grade-8
Easy

Question

Write the equation for the line.

  1. y = -1 x + 3
  2. y = 4 x+ 3
  3. y = 1 fourth x + 3
  4. y = - 4 x+ 3

hintHint:

linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers.A linear function represents a line, i.e., its graph is a line. Here,
  • 'm' is the slope of the line
  • 'b' is the y-intercept of the line
  • 'x' is the independent variable
  • 'y' (or f(x)) is the dependent variable

The correct answer is: y = 4 x+ 3


    linear function is of the form f(x) = mx + b where 'm' and 'b' are real numbers. A linear function represents a line, i.e., its graph is a line. Here,
    • 'm' is the slope of the line
    • 'b' is the y-intercept of the line
    • 'x' is the independent variable
    • 'y' (or f(x)) is the dependent variable

    Take any points from the scatter plot and find the slope intercept equation
    (x1, y1) = (0, 3) and (x₂, y₂) = (-1, -1).
    Step 1: Find the slope of the function using the slope formula:
    m = (y₂ - y1) / (x₂ - x1) = (-1 - 3) / (-1 - 0) = -4/-1 = 4.
    Step 2: Find the equation of linear function using the point slope form.
    y - y1 = m (x - x1)
    y - 3 = 4 (x - 0)
    y - 3 = 4 (x)
    y  = 4(x) + 3
    Therefore, the equation of the linear function is, y = 4(x) + 3.

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