Find the missing values
1 answer:
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The true statements are:
- Lines mn and pq have the same slope
- The product of the slopes of mn and mp is -1
The lines are given as:
Lines mn, pq, mp, mn, nq and pq
From the question, the lines are either parallel lines or perpendicular lines
As a general rule,
Parallel lines have equal slope
This means that:
Lines mn and pq have the same slope
Assume two perpendicular lines have slopes m and n.
The relationship between their slopes is:
m * n = -1
This means that:
The product of the slopes of perpendicular lines mn and mp is -1
Hence, the true statements are (a) and (c)
Read more about parallel and perpendicular lines at:
#SPJ1
<u>Complete question</u>
Line mn is parallel to line pq, mp is perpendicular to mn, and nq is perpendicular to pq. consider each statement and determine whether it is true or false. circle the correct answer.
Pptions:
- Lines mn and pq have the same slope
- The slope of line pq is undefined.
- The product of the slopes of mn and mp is -1
- Lines mp and mq are parallel.
Answer:
y = (-5/3)x - 4
Explanation:
The equation of a line with slope m that goes through the point (x1, y1) is:
Additionally, two lines are parallel if they have the same slope.
The slope of the line y = (-5/3)x - 2 is (-5/3) because it is the number beside x.
So, the slope of our line is also -5/3.
Therefore, replacing m by -5/3 and (x1, y1) by (-3, 1), we get that the equation of the line is:
Finally, solving for y, we get:
So, the answer is:
y = (-5/3)x - 4