Use axes intercepts to draw the graph of:
Problem 1 :
x + y = 6
Solution :
x-intercept: Put y = 0 x + y = 6 x + 0 = 6 x = 6 (6, 0) |
y-intercept: Put x = 0 0 + y = 6 y = 6 (0, 6) |
Plot (6, 0)
and (0, 6) by connecting these two points, we will get the line.
Problem 2 :
2x + y = 4
Solution :
x-intercept: y = 0 2x + y = 4 2x + 0 = 4 2x = 4 x = 2 (2, 0) |
y-intercept: x = 0 0 + y = 4 y = 4 (0, 4) |
Plot (2, 0)
and (0, 4) by connecting these two points, we will get the line.
Problem 3 :
3x - y = 5
Solution :
x-intercept: y = 0 3x - y = 5 3x - 0 = 5 3x = 5 x = 5/3 (5/3, 0) |
y-intercept: x = 0 0 - y = 5 y = -5 (0, -5) |
Plot (5/3,
0) and (0, -5) by connecting these two points, we will get the line.
Problem 4 :
2x + 3y = 6
Solution :
x-intercept : y = 0 2x + 0 = 6 2x = 6 x = 3 (3, 0) |
y-intercept : x = 0 0 + 3y = 6 3y = 6 y = 2 (0, 2) |
Plot (3, 0)
and (0, 2) by connecting these two points, we will get the line.
Problem 5 :
3x - 4y = 12
Solution :
x-intercept : y = 0 3x - 4y = 12 3x - 0 = 12 3x = 12 x = 4 (4, 0) |
y-intercept : x = 0 0 - 4y = 12 -4y = 12 y = -3 (0, -3) |
Plot (4, 0)
and (0, -3) by connecting these two points, we will get the line.
Problem 6 :
x + 3y = -6
Solution :
x-intercept : y = 0 x + 0 = -6 x = -6 (-6, 0) |
y-intercept : x = 0 0 + 3y = -6 3y = -6 y = -2 (0, -2) |
Plot (-6, 0) and (0, -2) by connecting these two points, we will get the line.
Problem 7 :
2x - 5y = 10
Solution :
x-intercept : y = 0 2x - 0 = 10 2x = 10 x = 5 (5, 0) |
y-intercept : x = 0 0 - 5y = 10 -5y = 10 y = -2 (0, -2) |
Plot (5, 0) and (0, -2) by connecting these two points, we will get the line.
Problem 8 :
2x + 7y = 14
Solution :
x-intercept: Put y = 0 2x + 0 = 14 2x = 14 x = 7 (7, 0) |
y-intercept : x = 0 0 + 7y = 14 7y = 14 y = 2 (0, 2) |
Plot (7, 0) and (0, 2), by connecting these two points, we will get the line.
Problem 9 :
3x - 4y = 8
Solution :
x-intercept: y = 0 3x - 0 = 8 3x = 8 x = 8/3 (8/3, 0) |
y-intercept: x = 0 0 - 4y = 8 -4y = 8 y = -2 (0, -2) |
Plot (8/3, 0) and (0, -2), by connecting these two points, we will get the line.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM