Every straight line graph has an equation in the same form:
y = (slope of the line) x + (y-intercept) .
-- The slope of the line is
(how far it goes UP, going left to right between any 2 points)
divided by
(how far it goes left to right between the same 2 points) .
The line on this graph has a slope of + 1/2 .
-- The y-intercept is the point where the line crosses the y-axis.
The line on this graph crosses the y-axis at -1 .
y = (slope of the line) x + (y-intercept) .
y = ( 0.5 ) x ( - 1 ) .
Option 2: 
is the right answer
Step-by-step explanation:
Given fraction is:
To solve the fraction, Taking LCM in denominator and numerator
When the numerator and denominator both have fractions, the simplified form is obtained be multiplying the numerator with reciprocal of the denominator. So,
Hence,
Option 2: is the right answer
Keywords: fractions, simplification
Learn more about fractions at:
#LearnwithBrainly
Since x co-ordinates are constant, answer has to be difference in y co ordinates therefore the answer is 4
Answer:
Increasing on: 
Decreasing on: 
Constant at : x=-1
Step-by-step explanation:
The given absolute value function is 
.
A function is said to be increasing if for all 
, 
From the graph, we can observe that the graph has a positive slope for all x-values less than -1. This implies that the interval of increase is or 
We can also observe that, the slope of this function is negative on the interval: or 
.
At x=-1, the function is neither increasing nor decreasing. We say the function is constant at x=-1
Answer:
d=rt In this problem we are looking for the distance, but we will have to go about it indirectly. If she's traveling the same exact road going and returning, then the distance traveled both ways is exactly the same. Since d = rt, and d is the same, by the substitution property, if and , then , and . So we need to rt for the trip going, rt for the trip returning and set them equal to each other and solve for t. Going is a rate of 24, and the time is t (since we don't know t), and returning is a rate of 30, and the time is 13 1/3-t. (If the whole trip takes 13 1/3 hours, and t is the time going, then the time returning is the difference between the total time and the going time. That concept is one that baffles most algebra students!). So our r1t1 is 24t, and our r2t2 is 30(13 1/3 - t). Set them equal to each other and that will look like this: That fraction of 40/3 is 13 1/3 made into an improper fraction. Distributing that we will have and 54t = 400. That means that t = 7.407. We have time, and that's great, but we need distance! Go back to one of your equations for distance and sub in t and solve for d. d = 24t, and d = 24(7.407), so d = 177.768 miles.
