In worksheet on slope and yintercept we will get different types of equations.
On understanding slope and yintercept of graphs of linear relations in x,y.
1. Determine the slope and yintercept of the line graph for each of the following relations in x, y.
(i) 5x + 3y + 9 = 0
(ii) 7x = 8y  5
(iii) 3y + 5 = 0
(iv) 9x  10y = 4
(v) 5y = 3x + 4
(vi) 5y + 9 = 0
(vii) 5x  9y  10 = 0
2. Determine the slope and the inclination with the positive direction of the xaxis for the line graph of each of the following.
(i) √3x – y = 1
(ii) 3y = √3x + 1
(iii) 4(x  y) = 3
3. The following points are plotted in the xy plane. Find the slope and yintercept of the line joining each pair of points.
(i) (1, 3) and (2, 1)
(ii) (0, 4) and (3, 4)
(iii) (\(\frac{1}{3}\), \(\frac{1}{2}\)) and (1, 2)
4. The points (6, 2) and (3, 7) are plotted in the xy plane. Find the slope and yintercept of the line joining the points.
On drawing the graph of y = mx + c using slope and yintercept.
5. Draw the graph for each of the following using the slope and yintercept.
(i) √3x – y = 3
(ii) x = y + 2
(iii) x  √3y + 2√3 = 0
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