Linear Relationship Math Example 4

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Example 4

medium
Points \((0, -2)\) and \((4, 6)\) lie on a line. Find the equation in \(y = mx + b\) form.

Solution

  1. 1
    Slope: \(m = \frac{6-(-2)}{4-0} = \frac{8}{4} = 2\).
  2. 2
    Y-intercept from \((0,-2)\): \(b = -2\).
  3. 3
    Equation: \(y = 2x - 2\).

Answer

\(y = 2x - 2\)
The slope is 2 and the y-intercept is −2 (directly from the given point where \(x=0\)).

About Linear Relationship

A relationship between two variables where the rate of change is constant, producing a straight line when graphed. Expressed as y=mx+by = mx + b where mm is the slope.

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More Linear Relationship Examples

Example 1 easy

A taxi charges a [formula]2 per mile. Write the equation for total cost (C) in terms of miles (m). I

Example 2 medium

Two points on a line are ((1, 5)) and ((3, 11)). Find the equation of the line in (y = mx + b) form.

Example 3 easy

For the equation (y = 4x - 1), find (y) when (x = 3) and (x = 0).

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