Answer:
Part 1) The graph in the attached figure
Part 2) The equation of the line is
Step-by-step explanation:
Part 1) we know that
To graph a line we need at least two points
we have
(5,2) and (0,7)
Plot the points
Connect then and join to graph the line
The graph in the attached figure
Part 2) Determine the equation of the line
Find the slope
Remember that the formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)
see the graph
The formula to calculate the slope between two points is equal to
we have
substitute
Is negative because is a a decreasing function
as the value of x increases, the value of y decreases
The equation of the line in slope intercept form is equal to
we have
----> the y-intercept is given see the graph
substitute
Answer:
The solution to the system of equations is (-6, 3)
Step-by-step explanation:
Plot both lines on a graph, find where they intersect IF they even intersect at all like in this case, and boom there's your answer. Hope that helps and have a good rest of your day.
Answer:
b = 35.00
Step-by-step explanation:
To make use of the Law of Sines, you need to know angle B. Of course, its value will make the sum of all angles be 180°, so it is ...
B = 180° -34.5° -29.8° = 115.7°
Then the law of sines tells you ...
b = sin(B)·a/sin(A) = 22·sin(115.7°)/sin(34.5°)
b = 35.00