# Lesson 11

More Solutions to Linear Equations

Let’s find solutions to more linear equations.

### Problem 1

For each equation, find \(y\) when \(x=\text-3\). Then find \(x\) when \(y=2\)

- \(y=6x+8\)
- \(y=\frac23x\)
- \(y=\text-x+5\)
- \(y=\frac34x-2\frac12\)
- \(y=1.5x +11\)

### Problem 2

True or false: The points \((6,13)\), \((21,33)\), and \((99,137)\) all lie on the same line. The equation of the line is \(y=\frac43x+5\). Explain or show your reasoning.

### Problem 3

Here is a linear equation: \(y=\frac14 x +\frac54\)

- Are \((1,1.5)\) and \((12,4)\) solutions to the equation? Explain or show your reasoning.
- Find the \(x\)-intercept of the graph of the equation. Explain or show your reasoning.

### Problem 4

Find the coordinates of \(B\), \(C\), and \(D\) given that \(AB\) = 5 and \(BC\) = 10.

### Problem 5

Match each graph of a linear relationship to a situation that most reasonably reflects its context.