Answer:
a. A/B = 7/3
b. (p,q) = (4,0)
c. (p,q) = (0,2)
Explanation:
We have the line as:
21x-6y-15 = 0
The general form of the equation of a straight line is;
y = mx + c
Where m is the slope and c is the y -intercept
writing the above in this manner, we have
6y = 21x -15
Now let’s divide through by 6;
y = 21x/6 -15/6
y = 7x/3 -5/3
Since in the general equation of a straight line, the coefficient of x is the slope, this means that our slope is 7/3 which makes A = 7 and B = 3
Considering the equation;
3x + 6y = 12
Expressing in the general form, we have
6y = 12-3x
divide through by 6
y = 12/6 -3x/6
y = 2-0.5x
Now we want to find the x intercept. At the x-intercept, the value of y = 0
Thus 0 = 2-0.5x
0.5x = 2
x = 2/0.5 = 4
so (p,q) = (4,0)
For the y intercept
y = 2-0.5x
Obviously the y intercept here is 2, so the coordinates of the y-intercept here is (0,2) = (p,q)