Find the value of y.
1 answer:
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Answer:
Step-by-step explanation:
step 1
Find the slope of the given line
we know that
If two lines are parallel, then their slopes are the same
The equation of the given line is
This is a equation of the line in slope intercept form
where
m is the slope
b is the y-intercept
The slope m is equal to
therefore
The slope of the line parallel to the given line is
step 2
Find the equation in slope intercept form of the line parallel to the given line
we have
substitute the values and solve for b
therefore
The linear equation is
System:
y ≤ -x + 4
y >
x
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.
y ≤ -x + 4
y >
Notes:
1. inequalities are expressed in slope-intercept form. y = mx + b
2. the second inequality uses the greater than inequality symbol rather than the greater or equal to symbol due to the broken line.
3. All points in the shaded region will satisfy both inequalities. Point outside the shaded region will not satisfy both inequalities.