Answer: y = 5x - 2
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 5x - 1
Comparing with the slope intercept form, slope = 5
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (4, 18) is 5
To determine the intercept, we would substitute m = 5, x = 4 and y = 18 into y = mx + c. It becomes
18 = 5 × 4 + c = 20 + c
c = 18 - 20 = - 2
The equation becomes
y = 5x - 2
