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Answer:
a) The slope of the line is parallel to the another line m=4
b) The slope of the line is perpendicular to the another line m=
Step-by-step explanation:
Step1:-
<u>Slope of a line</u><u> :-</u>
If θ is the inclination of a line 'l' then tanθ is called the slope or gradient of the line 'l'.The slope of a line is denoted by m=tanθ
The slope of a line given two points m=
<u>Parallel lines:-</u>
<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel
<u>Perpendicular lines:-</u>
<u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.
<u>Step 2</u>:-
a)The slope of a line when given two points (-1,-4) and (0,0)
<u>Two </u>non-vertical lines are parallel if and only if their slopes are parallel
Therefore the slope of the line that is parallel to the another line
<u>Step 3</u>:-
b) <u>Two </u>non-vertical lines are perpendicular to each other if and only if their slopes are negative reciprocals of each other.
Therefore the slope of the line is perpendicular to the another line is