Question

What is an equation of the line that passes through the point

(
1
,
7
)
(1,7) and is parallel to the line
3
x
−
y
=
1
3x−y=1?

Answer 1

Explanation:

We wish to express 3x - y = 1

in slope-intercept form.

3x - y = 1

=> y = 3x - 1

Slope of line = 3, therefore

Slope of parallel line is also 3.

We have y = 3x + c.

When x = 1, y = 7.

=> (7) = 3(1) + c, c = 4

Hence the answer is y = 3x + 4.