Test 3. Sloping lines

 1. Look at points on the straight line. Copy and complete the table below:

 а)  (2, 0), (3, 1), (4, 0), (5, 3);     

 b)  (2, 1), (3, 1), (4, 2), (5, 3);     

 c)  (2, 0), (3, 1), (4, 2), (5, 3);     

 d)  (2, 0), (3, 1), (4, 2), (5, 4).

 2. Find a rule connecting the x-coordinate and the y-coordinate.

y = ……

 а)  y = x – 2;     

 b)  y = x – 4;     

 c)  y = x + 2;     

 d)  y = x + 4.

 3. Determine the intercepts of the line.

 а)  x-intercept (–100, 0), y-intercept (0, 250);     

 b)  x-intercept (250, 0), y-intercept (0, –100);     

 c)  x-intercept (100, 0), y-intercept (0, 250);     

 d)  x-intercept (–250, 0), y-intercept (0, 100).

 4. Determine the intercepts of the line.

y = –3x + 12

 а)  x-intercept (–12, 0), y-intercept (0, 4);     

 b)  x-intercept (4, 0), y-intercept (0, 12);     

 c)  x-intercept (12, 0), y-intercept (0, 4);     

 d)  x-intercept (4, 0), y-intercept (0, –12).

 5. Determine the intercepts of the line that passes through the following points.

(–6, 5); (–3, 3); (0, 1).

 а)  x-intercept (0, 1), y-intercept (1.5, 0);     

 b)  x-intercept (0, 1), y-intercept (1, 0);     

 c)  x-intercept (0, 1), y-intercept (2.5, 0);     

 d)  x-intercept (0, 1), y-intercept (0.5, 0).

 6. What is the slope of the line?

 а)  0;      b)  1;     

 c)  6;      d)  undefined.

 7. Find the equation of the line.

 а)  y = –x – 5;     

 b)  y = x + 5;     

 c)  y = –x + 5;     

 d)  y = x – 5.

 8. Write an equation that represents the line.

 а)  y = –0,75x +– 2;     

 b)  y = 0,75x + 2;     

 c)  y = –0,75x + 2;     

 d)  y = 0,75x – 2.

 9. The equation of any straight line can be written in the form

y = mx + c

where m is the gradient and c is where the line crosses the y-axis.

Which lines below are parallel?

y = x + 2, y = 5 – x, y = 4x – 2, y = 2x + 4, y = 3 + 4x.

 а)  y = 3 + 4x, y = 5 – x;     

 b)  y = 2x + 4, y = 4x – 2;     

 c)  y = 3 + 4x, y = x + 2;     

 d)  y = 3 + 4x, y = 4x – 2.

10. Write down the equations of the lines marked A, B and C.

 а)  A, x = 2; B, x = 4¹/₂; C, x = –3;     
 b)  A, x = 1; B, x = 4¹/₂; C, x = –2;     

 c)  A, x = 1; B, x = 4¹/₂; C, x = –3;     

 d)  A, x = 1; B, x = 4¹/₅; C, x = –3.

11. Write down the equations of the lines marked P, Q, R and S.

 а)  P, y = 1; Q, y = 3¹/₂; R, y = –3; S, y = –1¹/₂;     

 b)  P, y = 2; Q, y = 3¹/₂; R, y = –3; S, y = –1¹/₂;     

 c)  P, y = 1; Q, y = 3¹/₆; R, y = –3; S, y = –1¹/₂;     

 d)  P, y = 1; Q, y = 3¹/₂; R, y = –3; S, y = –1¹/₄.

12. The outside edge of Frank’s face is made by straight lines. Write down the equation of each line (2 of the lines will have the same equation).

 а)  y = 1, y = 5, y = 9, x = 1, x = 3, x = 7, x = 9;     

 b)  y = 1, y = 4, y = 9, x = 1, x = 3, x = 7, x = 9;     

 c)  y = 1, y = 5, y = 9, x = 1, x = 2, x = 7, x = 9;     

 d)  y = 1, y = 5, y = 9, x = 1, x = 3, x = 7, x = 8.