Chapter 1.

1.1 Problem Statement

rand(6,9)
rand(2,5)
rand(2,5)
$a*$p-$q

Find the equation of the line with the given description.

parallel to y = $a·x-4, passes through ($p,$q)

1.2 Step 1

The given line is expressed in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Question Sequence

Question 1.1

Parallel lines have QY5Xl6yk2P8OML+XEDRA51whrFEpnnAZBe6WpdZisDA= slopes.

2
Incorrect
Correct

Question 1.2

The given line has slope nc1ItEz0kR4=. Thus, the equation of the line passing through point ($p,$q) has slope nc1ItEz0kR4=.

2
Incorrect
Correct

1.3 Step 2

We want to write the equation of a line with slope $a that passes through the point ($p, $q). We will choose to use the point-slope form for the equation of a line, y − b = m(x − a), where m is the slope and (a, b) is a known point on the line.

Question Sequence

Question 1.3

From the given equation, we have

y - VdD/yKVKNAI= = nc1ItEz0kR4= (x - 3jRAm4T6Mr4=)

2
Incorrect
Correct

1.4 Step 3

Question Sequence

Question 1.4

Solve y - $q = $a (x-$p) for y in terms of x to get the slope-intercept form of the line that passes through the point ($p,$q) and is parallel to y = $a·x-4.

y = nc1ItEz0kR4= x - iSba6t70dtA=

2
Correct.
Incorrect.