mat099 lab sheet 4: graphing linear equations in two variables · mat099 lab sheet 4: graphing...
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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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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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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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