Question

Write an equation for a line parallel to

y
=
5
x
−
1
and passing through the point (4,18)

Answer 1

y = 5x - 2

Explanation:

slope of line parallel will be same as given line

slope is 5

y-18 = 5 (x-4)

y - 18 = 5x - 20

add 18 to both sides

y = 5x -2

Answer 2

Answer: y = 5x - 2

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