Math Questions With Answers (6)

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.

Questions 1:

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

Questions 2:

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

Questions 3:

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

Questions 4:

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

Questions 5:

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

Questions 6:

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

Questions 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).

Questions 8:

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

Questions 9:

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

Questions 10:

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

Questions 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.

Questions 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.

Questions 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.

Questions 14:

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

Questions 15:

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

Questions 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.

Questions 17:

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

Questions 18:

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

Questions 19:

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

Questions 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

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