<u><em>Answer:</em></u>
The slope of the line is 77
<u><em>Explanation:</em></u>
We know the speed is constant and that the mile-marker location over time can be represented by a line. This means that the equation is linear.
<u>The slope can, therefore, be calculated as follows:</u>

where (x₁ , y₁) and (x₂ , y₂) are two points on the line
We are given that the two points (1, 123) and (3, 277) are two points in the line
<u>Substitute with them in the above equation to get the slope as follows:</u>

Hope this helps :)
M=(y2-y1)/(x2-x1)= (3-1)/(4-3) =(2/1)= 2
y=mx+b. plug in one of the points for the second line and solve for b
1=2(3)+b
1=6+b
-5=b
plug b and m back into the equation y=mx+b
y=2x+-5
The solution to the system must make sense when plugged into both equations
C works because
y=x+3; 11=8+3
11=11 and
y=2x-5; 11=2(8)-5
11=11
Answer:
B. 18/48 and 21/56
C. 20/28 and 15/18
Step-by-step explanation:
Simplifying 18/48 = 3/8
Simplifying 21/56 = 3/8
Simplifying 20/ 28= 5/7
Simplifying 15/18 = 5/7