Answer: option C is the correct answer.
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
c represents the y intercept
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
Slope = (y2 - y1)/(x2 - x1)
Slope = (8 - 5)/(4 - 0) = 3/4
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3, 9) is 3/4
To determine the y intercept, we would substitute m = 3/4, x = - 3 and y = 9 into y = mx + c. It becomes
9 = 3/4 × - 3 + c
9 = - 9/4 + c
c = 9 + 9/4
c = 45/4
The equation becomes
y = 3x/4 + 45/4
