The equation of the line passes through (2, -1) and (4, 5) is -3x + y = - 7 So, option 2 is correct.
<u>Solution:</u>
Given, two points are (2, -1) and (4, 5)
We have to find that a line that passes through the given two points.
First let us find the slope of the line that passes through given two points.
So, slope of line "m" is given as:


So slope of our line = 
Now, let us find the line equation using point slope form:

Then equation of line is,
y – 5 = 3(x – 4)
y – 5 = 3x – 12
-3x + y = 5 – 12
-3x + y = -7
Hence, the line equation is -3x + y = - 7 so, option 2 is correct.
Answer:
To find the measure of angle OPQ, we have two equations...
y+5x-17=180 because angles OPN and OPQ are supplementary...
AND
x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.
The equations...
5x+y=197
3x+y=167
solce the system of equations...
x=15
y=122
Since we wanted to solve for y, 122 is the answer.
The measure of angle OPQ is 122.
Answer:
√(20× 30)= √600=10√6
Step-by-step explanation: