Im not quite sure how to solve this.
2 answers:
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Answer:
Slope of required line if both lines are parallel: y=4x-20
Slope of required line if both lines are perpendicular: y=-1/4x+14
Step-by-step explanation:
We need to find equation of line while we are given another line having equation y=4x-6 and passes through point (8,12)
<u><em>Note: Since it is not given if the required line is parallel or perpendicular to the given line. I will solve for both cases.</em></u>
If Both lines are parallel the equation of new line will be:
We need to find slope and y-intercept to write equation of new line.
When lines are parallel there slopes are same
So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)
Slope of new line is: m=4
Now finding y-intercept
Using slope m=4 and point (8,12) we can find y-intercept
y-intercept of new line is: b=-20
Equation of required line having slope m=4 and y-intercept b=-20 is
If Both lines are perpendicular the equation of new line will be:
We need to find slope and y-intercept to write equation of new line.
When lines are perpendicular there slopes are opposite of each other
So, slope of given line y=4x-6 is 4 (Compare with general equation y=mx+b, m is slope so m=4)
Slope of new line is: m=-1/4
Now finding y-intercept
Using slope m=-1/4 and point (8,12) we can find y-intercept
y-intercept of new line is: b=14
Equation of required line having slope m=-1/4 and y-intercept b=14 is
Answer:
Step-by-step explanation:
Set this up as a proportion, with inches on the top and feet on the bottom for our scale. We will find the actual length first, then we'll find the width.
Cross multiply to get that the actual length is 5(2.5) = 12.5 feet. Now for the width:
Cross multiply to get that the actual width is 5(3) = 15 feet.
If you want the area of the room, multiply the length times the width to get
A = 15(12.5)
A = 187.5 feet squared