Problem Statement

rand(6,9)
rand(2,5)
rand(2,5)
7*2-5

Find the equation of the line with the given description.

parallel to y = 7·x-4, passes through (2,5)

 
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

Parallel lines have slopes.

2
Incorrect
Correct

Question 2

The given line has slope . Thus, the equation of the line passing through point (2,5) has slope .

2
Incorrect
Correct

 
Step 2

We want to write the equation of a line with slope 7 that passes through the point (2, 5). 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 3

From the given equation, we have

y - = (x - )

2
Incorrect
Correct

 
Step 3

Question Sequence

Question 4

Solve y - 5 = 7 (x-2) for y in terms of x to get the slope-intercept form of the line that passes through the point (2,5) and is parallel to y = 7·x-4.

y = x -

2
Correct.
Incorrect.