It's a linear function. We need only two points to draw a graph.
We choose any values of x and calculate the value of y.
for x= 0 → y = 3(0) - 1 = 0 - 1 = -1 → (0, -1)
for x = 2 → y = 3(2) - 1 = 6 - 1 = 5 → (2, 5)
for x = 0 → y = 3(0) - 1/3 = 0 - 1/3 = -1/3 → (0, -1/3)
for x = 2 → y = 3(2) - 1/3 = 6 - 1/3 = 5 2/3 → (2, 5 2/3)
Answer:
1.
2.
3.
Step-by-step explanation:
Standard form of a line is .
If a line passing through two points then the equation of line is
where, m is slope, i.e.,.
1.
The line passes through the points (7,-3) and (4,-8). So, the equation of line is
Therefore, the required equation is .
2.
We need to find the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to .
Slope of the line :
Slope of parallel lines are equal. So, the slope of required line is -2 and it passes through the point (0,2).
Equation of line is
Therefore, the required equation is .
3.
We need to find the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to .
From part 2, the slope of this line is -2. So, slope of required line is -2 and it passes through the point (2,0).
Equation of line is
Therefore, the required equation is .
Answer: OPTION B.
Step-by-step explanation:
You need to analize the information given in order to solve this exercise.
According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).
Then, based on that you can determine that he started his trip from the point (Notice that the time and the distance are zero)
Observe in the graph that he arrived to the library (which is 4 miles away from his house) after 30 minutes.
Then, he stayed at the library. You know this because it is represented with an horizontal line.
Now you can identify in the graph that, from the point ,in which the time in minutes is
, Eli began his trip from the library to his house.
Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli rode his bicycle home from the library.