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Math Questions With Answers (6): Slope and Lines

Math questions on slopes and equations of lines. Answers to these questions are also provided and are located at the lower part of the page.

Question 1

Find, if possible, the slope of the line through the points (1/2 , 3/4) and (-1/3 , 5/4).

Question 2

Find, if possible, the slope of the line through the points (2 , 5) and (-4 , 5).

Question 3

Find, if possible, the slope of the line through the points (-9 , 4) and (-9 , -2).

Question 4

Line L passes through the points (4 , -5) and (3 , 7). Find the slope of any line perpendicular to line L.

Question 5

Find the slope of the line given by it equation: 2 x + 4 y = 10.

Question 6

Write an equation, of the slope intercept form, of the line passing through the points (2 , 3) and (4 , 6).

Question 7

Write an equation, in the slope intercept form, of the line with an x-intercept at (3 , 0) and a y-intercept at (0 , -5).

Question 8

Write an equation, in the slope intercept form, of the line with slope -2 and passing through the point (-4 , -5).

Question 9

Write an equation of the vertical line through the point (3 , 0).

Question 10

Write an equation of the horizontal line through the point (7 , -5).

Question 11

Find an equation of the line through the points (-3 , 5) and (9 , 10) and write it in the standard form Ax + By = C, with A > 0.

Question 12

Find an equation of the line parallel to the line 3x + 6y = 5 and passing through the point (1 , 3). Write the equation in the slope intercept form.

Question 13

Find an equation of the line perpendicular to the line 3x + 6y = 5 and passing through the point (1 , 3). Write the equation in the standard form.

Question 14

Write the equation of the line parallel to the line x = 5 and passing through the point (3 , -10).

Question 15

Write the equation of the line perpendicular to the line x = 2 and passing through the point (2 , -8).

Question 16

Write the equation of the line passing through the midpoint of the line segment defined by the points (2 , 8) and (0 , 4) and perpendicular to the line whose equation is given by -3x + 6y = 5.

Question 17

Are the lines with equations 2x - 3y = 8 and -x + 4y = 2 parallel, perpendicular or neither?

Question 18

Are the lines with equations 2x = 8 and -3y = 15 parallel, perpendicular or neither?

Question 19

What is the point of intersection of the lines with equations x = 7 and y = -9?

Question 20

Rewrite the equation |y| = |x| as two equations of two lines.

ANSWERS TO ABOVE QUESTIONS

1) - 3 / 5
2) 0
3) undefined
4) 1 / 12
5) - 1 / 2
6) y = (3 / 2) x
7) y = (5 / 3) x - 5
8) y = - 2 x - 13
9) x = 3
10) y = -5
11) 5x - 12 y = - 75
12) y = (-1 / 2) x + 7 / 2
13) y = 2x + 1
14) x = 3
15) y = -8
16) y = -2x + 8
17) Neither
18) Perpendicular
19) (7 , - 9)
20) y = x and y = - x