Solve the equation. 9 - 19= 18 9=
1 answer:
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You need these two basic solutions and facts to find the equation of a line:
- If you know the gradient
and one point
:
- If you know the gradient two points
:
- The slope of a line is the coefficient m when you write it in the
form
- Parallel lines have the same slope
- The slopes of perpendicular lines give -1 when multiplied
We can use this list to solve all the exercises:
b)
Use the first equation to get
c)
Use the second equation to get
d) same as c)
e) We derive the slope of the line by writing it as
So, the slope is -1/5. From here, it's the same as b)
f) same as e)
g) Again we find the slope as
so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).
Inequalities are used to represent unequal expressions
The solution to the system of inequalities is (-1,1)
<h3>How to determine the solution</h3>The system of inequalities is given as:
y > x + 2 and
y < 2x + 3
To do this, we start by plotting the graphs of the two inequalities
y > x + 2 and y < 2x + 3
See attachment for the graph
From the attached graph, both lines meet at (-1,1)
Hence, the solution to the system of inequalities is (-1,1)
Read more about system of inequalities at:
