Linear Functions & Graphs MCQ Test — Class 8 IB MYP

Solution:

Compare with \(y = mx + c\). The coefficient of \(x\) is the slope. — m = 3

Solution:

In \(y = mx + c\), the y-intercept is \(c\). — c = -4

Solution:

A linear function has \(x\) to the first power only. — y = 2x - 3 \text{ is linear}

Solution:

With slope 2 and y-intercept 0: — y = 2x + 0 = 2x

Solution:

A horizontal line has no vertical change. — \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{0}{\text{run}} = 0

Solution:

Substitute. — y = 4(3) - 1 = 12 - 1 = 11

Solution:

Negative slope means the line decreases as x increases.

Solution:

Set y = 0. — 0 = 2x - 6 \Rightarrow 2x = 6 \Rightarrow x = 3

The x-intercept is (3, 0).

Solution:

The coefficient of x is -1. — m = -1

Solution:

When \(x = 0\): \(y = 0 + 3 = 3\).