5.4 Equation of a Straight Line (Sample Questions)


Example 1:
Given that the equation of a straight line is 4x + 6y – 3 = 0. What is the gradient of the line?

Solution:
4x + 6y – 3 = 0
6y  = – 4x + 3
y = 4 x 6 + 3 6 y = 2 3 x + 1 2 y = m x + c g r a d i e n t , m = 2 3  




Example 2:
Given that the equation of a straight line is y = – 7x + 3. Find the y-intercept of the line?

Solution:
y = mx + c, c is y-intercept of the straight line.
Therefore for the straight line y = – 7x + 3,
y-intercept is 3


Example 3
:
 
 
 
 




Find the equation of the straight line MN if its gradient is equal to 3.
 
Solution:
Given m = 3
Substitute m = 3 and (-2, 5) into y = mx + c.
5 = 3 (-2) + c
5 = -6 + c
c = 11
Therefore the equation of the straight line MN is y = 3+ 11 

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