Answer:
2y = x - 3
Step-by-step explanation:
Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.
Given the following data;
Points (x, y) = (3, 0)
Equation is 8x - 16y = -14
To find the equation of the line?
First of all, we would have to determine the slope of the line;
y = mx + c ......equation 1
8x - 16y = -14
Rearranging the equation, we have
16y = 8x + 14
Dividing through by 16, we have;
y = 8/16(x) + 14/16
y = 1/2(x) + 7/8
Therefore, the slope, m is 1/2
*To find the intercept*
Since the line is parallel we would use, m = 1/2
Substituting the values into equation 1, we have;
y = mx + c for x = 3 and y = 0
0 = 1/2(3) + c
c = -3/2
Re-writing the equation of line;
Slope, m = 1/2
Intercept, c = -3/2
y = 1/2(x) + (-3/2)
Multiplying all through by the lowest common denominator "2"
2y = x - 3
