Answer:
Slope is 1/4 (0.25) while y-intercept is 5
Step-by-step explanation:
Here, we are interested in getting the y intercept and slope of the line joining the given points.
We can get the slope by using any two points
Let’s say (4,6) and (12,8)
Mathematically; slope
= (y2-y1)/(x2-x1) = (8-6)/(12-4) = 2/8 = 1/4 = 0.25
To get the y-intercept, we proceed
kindly recall that the equation of a straight line is;
y = mx + c
where m is the slope and c is the y-intercept
Let’s take any of the points (28,12)
Thus:
12 = 0.25(28) + c
12 = 7 + c
c = 12-7
c = 5
Answer: 0.3
Step-by-step explanation:
Answer:

Step-by-step explanation:
we have the points
(-3,1) and (0,3)
step 1
Find the slope m of the line
The formula to calculate the slope between two points is equal to

substitute the values


step 2
Find the equation of the line in slope intercept form

we have

----> the y-intercept is the point (0,3)
substitute the values

step 3
Find the equation of the inequality
we know that
The slope is positive
Everything to the left of the line is shaded ( The inequality is of the form y > ax+b or y ≥ ax+b)
Is a dashed line (The inequality is of the form y > ax+ b or y < ax+b)
therefore
The equation of the inequality is of the form y > ax+b
The inequality is

see the attached figure to better understand the problem
Answer:
Step-by-step explanation:
Equation : 165 = 102 + 1.4K
Define: K is # of kilometers
Solve: 63 = 1.4k, so k = 45
Final answer: 45 kilometers