Answer:
y = - x +
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given the line with equation
y = - x + 7 ← in slope- intercept form
with slope m = -
• Parallel lines have equal slopes , then
y = - x + c ← is the partial equation of the parallel line
to find c, substitute the point (3, 3 ) for x/ y into the partial equation
3 = - (3) + c = - + c ( add to both sides )
+ = c , that is
c =
y = - x + ← equation of parallel line
The equation of the line passing through point (3,3) and parallel to y = -(1/6)x + 7 is y = -(1/6)x + 3.5, which is achieved by knowing that parallel lines have the same slope and substituting the coordinates of the given point into the y = mx + b (slope-intercept form) and solving for the y-intercept 'b'.
The question asks for an equation of a line that is parallel to the equation y = -(1/6)x + 7 and also passes through the point (3,3). First, it's significant to understand that parallel lines share the same slope. Looking at the equation y = -(1/6)x + 7, we can see that the slope, or 'm' value, is -1/6. Therefore, the slope of our new line will also be -1/6. The conventional form of the equation for a line is y = mx + b where m is the slope and b is the y-intercept. Since we know the slope and have a point that lies on the line, we can substitute these values into this formula to solve for 'b'.
Here's how we do it:
First, substitute the point's coordinates into the equation for the line: 3 = (-1/6)*3 + b
This simplifies to: 3 = -1/2 + b
Then solving for 'b', we get: b = 3 + 1/2 = 3.5
Therefore, the equation of our new line that is parallel to the original line and passes through the point (3,3) is y = -(1/6)x + 3.5.
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The possible arrangement can be done as -
Given is that a teacher wants to arrange 16 chairs in equal rows in his classroom.
The possible arrangement can be done as -
Therefore, the possible arrangement can be done as -
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Answer:
In 2 rows with 8 chairs in each row.
Step-by-step explanation:
2×8=16