PLEASE HELP I WILL GIVE BRAINLEIST PLEASE ALSO SHOW STEPS!!!!!!
1 answer:
Answer:
The equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
- y = -7x-2
Step-by-step explanation:
The slope-intercept form of the line equation
where
- m is the slope
- b is the y-intercept
Given
- The point (-1, 5)
- Slope m = -7
substituting m = -7 and the point (-1, 5) in the slope-intercept form of the line equation
5 = -7(-1) + b
5 = 7+b
b = 5-7
b = -2
Thus, the y-intercept is: b = -2
now substituting b = -2 and m = -7 in the slope-intercept form of the line equation
y = mx+b
y = -7x+(-2)
y = -7x-2
Therefore, the equation of a line that passes through the point (-1,5) and has a slope of -7 will be:
- y = -7x-2
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Answer: 6x + 15
Step-by-step explanation: The distributive property tells us that if we are given an expression such as 3(2x + 5), we can multiply the 3 by both the 2x and the 5 to get 6x + 15.
My work is also shown below.
Answer:
The exact distance is miles.
The distance is approximately 10.4 miles.
Step-by-step explanation:
It is given that a rectangular city is 3 miles long and 10 miles wide. So,
Length = 3 miles
Width = 10 miles
We need to find the distance between opposite corners of the city. It means, we need to find the length of the diagonal of the rectangle.
Using Pythagoras theorem, the length of diagonal is
where, l is length and w is width.
Substitute l=3 and w=10.
The exact distance is miles.
Now,
The distance is approximately 10.4 miles.