Answer:
A.
Step-by-step explanation:
We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope <em>m.</em> Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

Thus, the slope is -4.
Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

Where (x1, y1) is a coordinate pair and m is the slope.
Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

This is also slope-intercept form. The answer is A.
The mid-point for given endpoints is (4,3)
Step-by-step explanation:
a mid-point is the point on a line segment that divides it into two equal portions.
If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:

given
(x1,y1) = (9,9)
(x2,y2) = (-1,-3)

The mid-point for given endpoints is (4,3)
Keywords: Coordinate Geometry, Mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
Step-by-step explanation:
The average car manufactured in the United states in 2001 could drive 24.5 miles on 1 car gallon of gas. To find the number of yards the car can travel on gallon of gas, we would convert 24.5 miles.
1 mile = 1760 yards
24.5 miles = 24.5 × 1760
= 43120 yards
Therefore, the car drives 43120 yards on 1 gallon of gas.
To write the equation you start with the 125 because it is monthly and it doesn't say how often you pay the 75 dollars so the equation would be c(f)=125x+75
Answer:
Step-by-step explanation:
x = father's age
y = son's age
Nowadays:
3x = y
5 years ago:
4(x - 5) = y - 5
4x - 20 = y - 5
4x = y + 15
I hope I've helped you.