Linear Relationship Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

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

Solution

  1. 1
    When \(x=3\): \(y = 4(3)-1 = 12-1 = 11\).
  2. 2
    When \(x=0\): \(y = 4(0)-1 = -1\) (the y-intercept).

Answer

\(y=11\) when \(x=3\); \(y=-1\) when \(x=0\)
Substitute \(x\) into \(y = 4x - 1\). The y-intercept (\(x=0\)) gives \(y=-1\).

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 4 medium

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

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