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?

Step-by-step 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.

159

Step-by-step explanation:

Using the formula for arithmetic progression,

an = a + (n - 1)d

Where a is the first term

n is the number of terms or nothing term

d is the common difference.

From the question:

a = 12

d = 3

nth = 50

an = 12 + ( 50 - 1) 3

= 12 + (49)3

= 12 + 147

= 159