Question

The table below shows the equations of five lines.

line 1: y= 2x - 3
line 2: 2x + y - 3 = 0
line 3: y= 5x + 11
line 4: 2x - y = 10
line 5: y= 1/2x - 5

a) which line has the greatest slope? explain ur answer.
b) which lines are parallel? show workings and explain
c) which lines are perpendicular? show workings and explain.
d) at which point does line 3 cross the y-axis?

Answer 1

a) line 3 because the coefficient of the term 5x, the slope is the greatest slope.

b) line 1 and 4 are parallel because they have the same slope: 2

c) line 1 with line 2 and line 4 with line 2 are perpendicular lines because their slopes are reciprocals negative.

d) line three crosses the y line at point 11

Explanation:

Line 1. y = 2x - 3

Line 2: y = -2x + 3

Line 3: y = 5x + 11

Line 4: y = 2x - 10

Line 5: y = 1/2x - 5