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WorksheetsEquation of a Line
Total questions: 15
Worksheet time: 1hrs 21mins
Any point through which a line ......................., will ....................... satisfy the equation of that line.
passes, always
does not pass, always
passes, not
does not pass, sometimes
Draw a pair of (i) parallel lines and (ii) intersecting lines.

Which of the following points lie on the line x-y+4=0?
(0,5)
(1,5)
(7,-3)
(3,7)
The line 3x = y + 1 bisects the line segment joining A(-2,3) and B(4,1)?
True
False
Which of the following is a linear line?
First figure
Second figure
Third figure
None
Find the slope given the points (-3,-5) and (1,2).
47
23
−47
−23
Three or more points are said to be (a) if there is a line containing all these points.
What type of inclinations do the following two figures have?
(a)
For what value of k will the point (4, -k) lie on the line, 9x+4y=12?
(a)
Find the slope given the points (q,-p) and (p,-q).
p−q−q−p
p−q−q+p
p+q−q−p
p+q−q+p
The slope of a line is −54
(i) The slope of it's parallel =
(ii) The slope of it's perpendicular =
The points (A, 4), (1, -3) and (5, 8) are Collinear. What is A?
(a)
Without using the distance formula, show that the points P(4,-2), Q(-4,4), and R(10, 6) are the vertices of a right-angled triangle.
Write a linear equation in slope intercept form of a line with a slope of 12 and y intercept of 21.
y=12x-21
y=12x+21
y=21x+12
x=21x-12
https://youtube.com/clip/Ugkx7fWRKaFbS9TZCjJyCu6tsKCFA6LW0CyC
Watch this video and answer the question.
Which of the following could be the equation for this line in the figure?
y = -7/5x - 3
y = 5/7x + 3
y = -5/7x - 3
y = 7/5x - 3
