The equation of line parallel to given line is: y=4x-31
Step-by-step explanation:
Given equation of line is:

The equation of line is in slope-intercept form so the co-efficient of x is the slope of the line.
Let m1 be the slope of the given line
then
m1 = 4
Let m2 be the line that is parallel to given line
As we know that the slopes of parallel lines is equal so
m1=m2 = 4
The slope-intercept form of equation of line is:

Putting the value of slope

to find the value of b, putting (5,-11) in the equation

Putting the value of b

Hence,
The equation of line parallel to given line is: y=4x-31
Keywords: Equation of line, slope
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Answer:
36 miles.
Step-by-step explanation:
We have been given that Karina rode her bike up a mountain trail at an average of 4 mph. Then she rode it back down the trail at an average of 20 mph. The entire trip took 3 hours.

Substitute the given values:




The total distance is 72 miles, so the distance going up would be half of 72.

Therefore, Karina went 36 miles up the mountain.
Answer:
Step-by-step explanation:
x + 70 = 180 {Linear pair}
x = 180 - 70
x = 110
y + 82 = 180 {linear pair}
y = 180 -82
y = 98
x - 4 = 110 - 4 = 106
2y - 40 = 2*98 - 40
= 196 - 40
= 156