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Page 1: MAT099 Lab Sheet 4: Graphing Linear Equations In Two Variables · MAT099 Lab Sheet 4: Graphing Linear Equations In Two Variables September 29, 2016 Name: 1. Sketch the graph of a

MAT099 Lab Sheet 4: Graphing Linear

Equations In Two Variables

September 29, 2016

Name:

1. Sketch the graph of a linear equation.

(a) y = 32x− 3

(b) 4x+ 2y = 1

(c) x = 2

(d) y = −3

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Page 2: MAT099 Lab Sheet 4: Graphing Linear Equations In Two Variables · MAT099 Lab Sheet 4: Graphing Linear Equations In Two Variables September 29, 2016 Name: 1. Sketch the graph of a

2. The slope of a line measure how steep a line is.

(a) Explain what it means that a slope of a line is positive.

(b) Explain what it means that a slope of a line is negative.

(c) Explain what it means that a slope of a line is zero.

3. Find the slope of a line

(a) passing through points (−1, 3) and (2, 4).

(b) passing through points (−2, 3) and (−1, 0).

(c) passing through points (0,−2) and (−4,−2).

(d) that is parallel to the line y = −4x+ 2.

(e) that is parallel to the line x− 2y = 8.

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Page 3: MAT099 Lab Sheet 4: Graphing Linear Equations In Two Variables · MAT099 Lab Sheet 4: Graphing Linear Equations In Two Variables September 29, 2016 Name: 1. Sketch the graph of a

4. Write an equation of the line with

(a) the slope 2 and y−intercept (0, 5).

(b) the slope − 23 and the y−intercept (0, 4).

(c) the slope 34 and y−intercept (0,−3).

(d) the slope −4 and the line passing through the origin.

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